In 2001, W. Carnielli and Marcos considered a 3-valued logic in order to prove that the schema ϕ ∨ (ϕ → ψ) is not a theorem of da Costa’s logic Cω. In 2006, this logic was studied (and baptized) as G'3 by Osorio et al. as a tool to define semantics of logic programming. It is known that the truth-tables of G'3 have the same expressive power than the one of Łukasiewicz 3-valued logic as well (...) as the one of Gödel 3-valued logic G3. From this, the three logics coincide up-to language, taking into acccount that 1 is the only designated truth-value in these logics. -/- From the algebraic point of view, Canals-Frau and Figallo have studied the 3-valued modal implicative semilattices, where the modal operator is the well-known Moisil-Monteiro-Baaz Δ operator, and the supremum is definable from this. We prove that the subvariety obtained from this by adding a bottom element 0 is term-equivalent to the variety generated by the 3-valued algebra of G'3. The algebras of that variety are called G'3-algebras. From this result, we obtain the equations which axiomatize the variety of G'3-algebras. Moreover, we prove that this variety is semisimple, and the 3-element and the 2-element chains are the unique simple algebras of the variety. Finally an extension of G'3 to first-order languages is presented, with an algebraic semantics based on complete G'3-algebras. The corresponding soundness and completeness theorems are obtained. (shrink)

An important problem with machine learning is that when label number n>2, it is very difficult to construct and optimize a group of learning functions, and we wish that optimized learning functions are still useful when prior distribution P(x) (where x is an instance) is changed. To resolve this problem, the semantic information G theory, Logical Bayesian Inference (LBI), and a group of Channel Matching (CM) algorithms together form a systematic solution. MultilabelMultilabel A semantic channel in the G theory consists (...) of a group of truth functions or membership functions. In comparison with likelihood functions, Bayesian posteriors, and Logistic functions used by popular methods, membership functions can be more conveniently used as learning functions without the above problem. In Logical Bayesian Inference (LBI), every label’s learning is independent. For Multilabel learning, we can directly obtain a group of optimized membership functions from a big enough sample with labels, without preparing different samples for different labels. A group of Channel Matching (CM) algorithms are developed for machine learning. For the Maximum Mutual Information (MMI) classification of three classes with Gaussian distributions on a two-dimensional feature space, 2-3 iterations can make mutual information between three classes and three labels surpass 99% of the MMI for most initial partitions. For mixture models, the Expectation-Maxmization (EM) algorithm is improved and becomes the CM-EM algorithm, which can outperform the EM algorithm when mixture ratios are imbalanced, or local convergence exists. The CM iteration algorithm needs to combine neural networks for MMI classifications on high-dimensional feature spaces. LBI needs further studies for the unification of statistics and logic. (shrink)

Free logics aim at freeing logic from existence assumptions by making them explicit, e.g., by adding an existence premisse to the antecedence of the classical axiom-schema of Universal Instantiation. Their historical development was motivated by the problem of empty singular terms, and that one of simple statements containing at least one such singular term: what is the referential status of such singular terms and what truth-value, if any, do such statemants have? Free logics can be classified with regard to (...) their respective answers to these problems. Negative free logics assume that non-existent objects cannot have any properties at all; hence, in particular, they cannot be self-identical or rotate. Positive free logics believe that non-existents can be self-identical according to the Leibnizian concept of identity. Neutral free logics think that statements of self-identity are truth-valueless because of the Fregean principle of compositionality. Since only in negative free logic, but not in positive free logic, two statements of the forms "a = a" and "E!a" are logically equivalent, one also can define only for NFL, but not for PFL, existence by self-identity. (shrink)

Logical reasoning is not only a component of religious faith (cf., for instance, the "Golden rule"), but, in addition, the religious faith itself can be conceived as a logical pragmatic function applied to sentences and their meanings. Pragmatic role of religious faith is shown on the examples of the analogy of seed and spoken word (e.g., Mt 13:3-23) and on the degrees of faith described in the episode about Nicodemus (John 3). Pragmatics adds (different grades of) perseverance to the correctness (...) of reasoning and to the truth-preservation of the consequence relation. Correspondingly, religious faith is described by formally defined model and satisfaction relation, which are applied to and examined on the text of John 3. (shrink)

This paper presents a new analysis of C.G. Hempel’s conditions of adequacy for any relation of confirmation [Hempel C. G. (1945). Aspects of scientific explanation and other essays in the philosophy of science. New York: The Free Press, pp. 3–51.], differing from the one Carnap gave in §87 of his [1962. Logical foundations of probability (2nd ed.). Chicago: University of Chicago Press.]. Hempel, it is argued, felt the need for two concepts of confirmation: one aiming at true hypotheses and another (...) aiming at informative hypotheses. However, he also realized that these two concepts are conflicting, and he gave up the concept of confirmation aiming at informative hypotheses. I then show that one can have Hempel’s cake and eat it too. There is a logic that takes into account both of these two conflicting aspects. According to this logic, a sentence H is an acceptable hypothesis for evidence E if and only if H is both sufficiently plausible given E and sufficiently informative about E. Finally, the logic sheds new light on Carnap’s analysis. (shrink)

Girolamo Saccheri (1667--1733) was an Italian Jesuit priest, scholastic philosopher, and mathematician. He earned a permanent place in the history of mathematics by discovering and rigorously deducing an elaborate chain of consequences of an axiom-set for what is now known as hyperbolic (or Lobachevskian) plane geometry. Reviewer's remarks: (1) On two pages of this book Saccheri refers to his previous and equally original book Logica demonstrativa (Turin, 1697) to which 14 of the 16 pages of the editor's "Introduction" are devoted. (...) At the time of the first edition, 1920, the editor was apparently not acquainted with the secondary literature on Logica demonstrativa which continued to grow in the period preceding the second edition \ref[see D. J. Struik, in Dictionary of scientific biography, Vol. 12, 55--57, Scribner's, New York, 1975]. Of special interest in this connection is a series of three articles by A. F. Emch [Scripta Math. 3 (1935), 51--60; Zbl 10, 386; ibid. 3 (1935), 143--152; Zbl 11, 193; ibid. 3 (1935), 221--333; Zbl 12, 98]. (2) It seems curious that modern writers believe that demonstration of the "nondeducibility" of the parallel postulate vindicates Euclid whereas at first Saccheri seems to have thought that demonstration of its "deducibility" is what would vindicate Euclid. Saccheri is perfectly clear in his commitment to the ancient (and now discredited) view that it is wrong to take as an "axiom" a proposition which is not a "primal verity", which is not "known through itself". So it would seem that Saccheri should think that he was convicting Euclid of error by deducing the parallel postulate. The resolution of this confusion is that Saccheri thought that he had proved, not merely that the parallel postulate was true, but that it was a "primal verity" and, thus, that Euclid was correct in taking it as an "axiom". As implausible as this claim about Saccheri may seem, the passage on p. 237, lines 3--15, seems to admit of no other interpretation. Indeed, Emch takes it this way. (3) As has been noted by many others, Saccheri was fascinated, if not obsessed, by what may be called "reflexive indirect deductions", indirect deductions which show that a conclusion follows from given premises by a chain of reasoning beginning with the given premises augmented by the denial of the desired conclusion and ending with the conclusion itself. It is obvious, of course, that this is simply a species of ordinary indirect deduction; a conclusion follows from given premises if a contradiction is deducible from those given premises augmented by the denial of the conclusion---and it is immaterial whether the contradiction involves one of the premises, the denial of the conclusion, or even, as often happens, intermediate propositions distinct from the given premises and the denial of the conclusion. Saccheri seemed to think that a proposition proved in this way was deduced from its own denial and, thus, that its denial was self-contradictory (p. 207). Inference from this mistake to the idea that propositions proved in this way are "primal verities" would involve yet another confusion. The reviewer gratefully acknowledges extensive communication with his former doctoral students J. Gasser and M. Scanlan. ADDED 14 March 14, 2015: (1) Wikipedia reports that many of Saccheri's ideas have a precedent in the 11th Century Persian polymath Omar Khayyám's Discussion of Difficulties in Euclid, a fact ignored in most Western sources until recently. It is unclear whether Saccheri had access to this work in translation, or developed his ideas independently. (2) This book is another exemplification of the huge difference between indirect deduction and indirect reduction. Indirect deduction requires making an assumption that is inconsistent with the premises previously adopted. This means that the reasoner must perform a certain mental act of assuming a certain proposition. It case the premises are all known truths, indirect deduction—which would then be indirect proof—requires the reasoner to assume a falsehood. This fact has been noted by several prominent mathematicians including Hardy, Hilbert, and Tarski. Indirect reduction requires no new assumption. Indirect reduction is simply a transformation of an argument in one form into another argument in a different form. In an indirect reduction one proposition in the old premise set is replaced by the contradictory opposite of the old conclusion and the new conclusion becomes the contradictory opposite of the replaced premise. Roughly and schematically, P,Q/R becomes P,~R/~Q or ~R, Q/~P. Saccheri’s work involved indirect deduction not indirect reduction. (3) The distinction between indirect deduction and indirect reduction has largely slipped through the cracks, the cracks between medieval-oriented logic and modern-oriented logic. The medievalists have a heavy investment in reduction and, though they have heard of deduction, they think that deduction is a form of reduction, or vice versa, or in some cases they think that the word ‘deduction’ is the modern way of referring to reduction. The modernists have no interest in reduction, i.e. in the process of transforming one argument into another having exactly the same number of premises. Modern logicians, like Aristotle, are concerned with deducing a single proposition from a set of propositions. Some focus on deducing a single proposition from the null set—something difficult to relate to reduction. (shrink)

The monograph contains three works on research on the concept of a rejected sentence. This research, conducted under the supervision of Prof. Jerzy Słupecki by U. Wybraniec-Skardowska (1) "Theory of rejected sentences" and G. Bryll (2) "Some supplements of theory of rejected sentences" and (3) "Logical relations between sentences of empirical sciences" led to the construction of a theory rejected sentences and made it possible to formalize certain issues in the methodology of empirical sciences. The concept of a rejected sentence (...) was introduced by J. Łukasiewicz in the course of his inquiry into Aristotelian Syllogistic. It was essentialy generelized by J. Słupecki who, with reference to Tarski's axiomatic theory of deductive systems (1930), gave the formal definition of the rejection function Cn' according to which a sentence y is rejected on the base of a set of sentences X iff at least one sentence which belongs to X can be deduced from the sentence y. Słupecki proved (1959) that the function Cn', which assignes to the set X the set of sentences rejected on the basis of X, is additive and satisfies the axioms of Tarski's general theory of deductive systems. Work (1) uses not only Tarski's general theory of systems but also his the so-called enlarged theory of systems (1930). It constructs a theory T of rejected sentences (propositions), which is created from Tarski's richer theory of systems by adding one axiom and a number of definitions; among them the definition of the rejection function Cn' is fundamental one. Cn' is a function which assignes to every set X of false sentences the set Cn'X whose members are exclusively false senteces. A number of theorems which describes properties of defined concepts have been proved in T. Some of them are necessary for conducting considertions of the concluding section of (1) devoted to the empirical sentences. Section 2 of (1) deals with the theory of the unit consequenses. It is characterized by an axiom from which follow all axioms of Tarski's general theory of deductive systems, additivity and the property that the unit consequence of the set X of sentences is a unit consequence only one sentence of X. An example of unit consequence is the rejection consequence Cn'. In section 3 of (1) the dual theory T' equivalent to T is presented. In T' the primitive concept is the rejection function Cn'. The fundamental axiom of T' states that Cn' is a unit consequence. The concluding section brings a few examples of applications of the definitions and theorems of T in the domain of the scientific methodology. Work (2) corresonds to J. Słupecki paper (1959) and the theory T of rejected propositions given in work (1). In this paper some suplements of the theory T are given. Work (3) is an extension of the theory of rejected propositios given in the paper (1). It is an attempt of formalization some problems of methodology of the empirical sciences which concern to such concepts as: empirical sentence, similar sentence, generalization, inductive conclusion etc. (shrink)

This chapter intervenes in recent debates in Kant scholarship about the possibility of a general logical alien. Such an alien is a thinker whose laws of thinking violate ours. She is third-personal as she is radically unlike us. Proponents of the constitutive reading of Kant’s conception of general logic accordingly suggest that Kant rules out the possibility of such an alien as unthinkable. I add to this an often-overlooked element in Kant’s thinking: there is reason to think that he (...) grants—and in fact presupposes—the possibility of a transcendental logical alien. Such an alien is a knower whose laws of experience purport to violate ours. She is first-personal as she is radically like us. In other words, she is us, insofar as we are alienated from ourselves and our experience. I go on to draw an analogy between her, a dogmatist, and another transcendental alien, an evil agent. Just as a dogmatist is alienated from her (our) experiential laws, an evil agent is alienated from her (our) moral law. These forms of theoretical and practical self-conceit require self-knowledge in the form of a critique of speculative or practical reason. In bringing this point out, I aim to shift from the question of whether logical laws constitute our thinking to the question of whether grasping our experiential and moral laws as our laws constitutes our reason. (shrink)

Different notions of the consistency of obligations collapse in standard deontic logic. In justification logics, which feature explicit reasons for obligations, the situation is different. Their strength depends on a constant specification and on the available set of operations for combining different reasons. We present different consistency principles in justification logic and compare their logical strength. We propose a novel semantics for which justification logics with the explicit version of axiom D, jd⁠, are complete for arbitrary constant specifications. (...) Consistency is sometimes formulated in terms of permission. We therefore study permission in the context of justification logic, introducing a notion of free-choice permission for the first time. We then discuss the philosophical implications with regard to some deontic paradoxes. (shrink)

The history of philosophy risks a self-opacity whereby we overestimate or underestimate our proximity to prior modes of thinking. This risk is relevant to assessing Hegel’s appropriation by McDowell and Priest. McDowell enlists Hegel for a quietist answer to the problem with assuming that concepts and reality belong to different orders, viz., how concepts are answerable to the world. If we accept Hegel’s absolute idealist view that the conceptual is boundless, this problem allegedly dissolves. Priest enlists Hegel for a dialetheist (...) answer to the problem with assuming that truth and falsity are mutually exclusive, viz., how certain sentences are both true and false. If we accept Hegel’s dialectical view that certain contradictions are necessary, this problem allegedly dissolves. For both McDowell and Priest, we find a true friend in Hegel. I argue that McDowell’s and Priest’s appropriations of Hegel overestimate Hegel’s affinity with quietism and dialetheism. McDowell reads Hegel as a quietist who silences metaphysical claims and the skeptical questions they raise against commonsense, but neglects Hegel’s adaptation of ancient skepticism against commonsense. Priest reads Hegel as a dialetheist who subordinates formal logic to dialectical logic by affirming the truth of certain contradictions, but neglects Hegel’s commitment to resolving contradictions for the sake of truth qua whole. I diagnose their misreadings in terms of what Hegel regards as the three moments of logic and argue that while McDowell jumps to its third moment, Priest stalls at its second moment. According to Hegel’s Encyclopedia Logic, logic has three “moments”: the abstractive moment of the understanding, which “stops short” at fixed categories; the negative moment of dialectic, which discovers the “genuine nature” of the categories, viz., that each “passes over, of itself, into its opposite”; and the positive moment of speculation, which grasps the “unity” of categories through the “dissolution” of their inner opposition. Hegel warns that if these moments are “kept separate from each other […] they are not considered in their truth”. I suggest that quietist and dialetheist readings of Hegel fail to consider truthfully the unified moments of his logic. In his quietist critique of metaphysics, McDowell enlists Hegel to dissolve the problem with assuming the duality of concept and reality. But McDowell helps himself directly to the third moment of logic, where the unity of the categories, and hence the boundlessness of the conceptual, would be fully articulated. Since he arrives at the third moment prematurely, ignoring its prior moments, he obscures its truth (§1). In his dialetheist critique of formal logic, Priest enlists Hegel to dissolve the problem with assuming the duality of truth and falsity. But Priest restricts himself gratuitously to the second moment of logic, where contradictions within the categories are not yet resolved. Since he stalls at the second moment, severed from its final moment, he obscures its truth (§2). I argue we can extricate Hegel from quietist and dialetheist misreadings only if we grasp the truth of the three moments of logic. (shrink)

In the literature on supervaluationism, a central source of concern has been the acceptability, or otherwise, of its alleged logical revisionism. I attack the presupposition of this debate: arguing that when properly construed, there is no sense in which supervaluational consequence is revisionary. I provide new considerations supporting the claim that the supervaluational consequence should be characterized in a ‘global’ way. But pace Williamson (1994) and Keefe (2000), I argue that supervaluationism does not give rise to counterexamples to familiar inference-patterns (...) such as reductio and conditional proof. (shrink)

Fichte argues that the conclusion of Kant’s transcendental deduction of the categories is correct yet lacks a crucial premise, given Kant’s admission that the metaphysical deduction locates an arbitrary origin for the categories. Fichte provides the missing premise by employing a new method: a genetic deduction of the categories from a first principle. Since Fichte claims to articulate the same view as Kant in a different, it is crucial to grasp genetic deduction in relation to the sorts of deduction that (...) Kant offers. I propose to interpret genetic deduction as the simultaneous fulfillment of two tasks: answering the question quid facti by deriving the categories from the I and answering the question quid juris by establishing our entitlement to the categories as conditions of experience. While the second task represents Fichte’s agreement with Kant’s transcendental deduction, the first reflects his correction of Kant’s metaphysical deduction. (shrink)

Our era is characterized by a significant conflict between populism and anti-populism, both politically and culturally. Populist groups and leaders often portray themselves as the true voices of the common people, gaining electoral support or even taking power by framing society as a battle between the ordinary people and the elite, challenging the political and economic establishment. Conversely, parties within the liberal political spectrum counteract the rise of populism by articulating a strong anti-populist discourse, sometimes successfully dominating the political arena. (...) However, despite the increase in studies on populism, there are not many publications regarding anti-populism. This article seeks to examine the anti-populist discourse in Argentina and Greece, two countries with many similarities in political, economic, and cultural aspects. By analyzing the key ideas of anti-populist discourse, we aim to highlight the common anti-populist logic marked by typical paths of modernization, which not only opposes populism but also frequently disregards or opposes specific social groups, such as minorities. (shrink)

Fichte assigns ‘intellectual intuition’ a new meaning after Kant. But in 1799, his doctrine of intellectual intuition is publicly deemed indefensible by Kant and nihilistic by Jacobi. I propose to defend Fichte’s doctrine against these charges, leaving aside whether it captures what he calls the ‘spirit’ of transcendental idealism. I do so by articulating three problems that motivate Fichte’s redirection of intellectual intuition from being to acting: (1) the regress problem, which states that reflecting on empirical facts of consciousness leads (...) only to further facts and so cannot yield a first principle; (2) the rhapsody problem, which states that the categories form a haphazard set and so lack necessity unless they derive from a first principle; and (3) the nihilism problem, which states that a first principle cannot lie outside our cognition of it, lest it be the cause of our cognition and, being first, the cause of all our actions, reducing us to machines. Crucially, Fichte’s three motivating problems are in fact aspects of a single problem. Leaving any aspect unsolved spoils putative solutions to the other two. Consequently, Fichte requires a single unified solution to all three, which his doctrine of intellectual intuition provides. (shrink)

While the idea that philosophy requires self-transformation is historically pervasive, it exerts considerable influence on the post-Kantians who first aim to systematize Kant’s idealism by grounding it on a first principle. In the 1790s, Fichte and Schelling offer competing accounts of the self-transformation that they regard as essential to positing a first principle. Their accounts raise two central questions. First, what makes this kind of self-transformation possible? Second, are there different possible expressions of philosophical self-transformation? In what follows, I will (...) articulate the Fichtean and Schellingian answers to these central questions. For Fichte, the one who summons me to posit a first principle makes possible my philosophical self-transformation, although the latter has an exclusively idealist expression in that I can only genuinely posit the I as first principle, which is to say that philosophical self-transformation depends on mutual recognition and vindicates precisely one philosophical system (Section 1). For Schelling, a brute act of will makes possible my philosophical self-transformation, although the latter has either an idealist or a realist expression in that I can genuinely posit either the I or the not-I as first principle, which is to say that philosophical self-transformation does not depend on mutual recognition and vindicates one of two possible philosophical systems (Section 2). Thus, whereas Fichtean self-transformation is recognitive and non-pluralistic, Schellingian self-transformation is pluralistic and non-recognitive. I conclude with a discussion of how Jacobi poses a challenge to Fichte’s and Schelling’s answers to the two central questions (Section 3). (shrink)

A general class of labeled sequent calculi is investigated, and necessary and sufficient conditions are given for when such a calculus is sound and complete for a finite -valued logic if the labels are interpreted as sets of truth values. Furthermore, it is shown that any finite -valued logic can be given an axiomatization by such a labeled calculus using arbitrary "systems of signs," i.e., of sets of truth values, as labels. The number of labels needed is logarithmic (...) in the number of truth values, and it is shown that this bound is tight. (shrink)

A uniform construction for sequent calculi for finite-valued first-order logics with distribution quantifiers is exhibited. Completeness, cut-elimination and midsequent theorems are established. As an application, an analog of Herbrand’s theorem for the four-valued knowledge-representation logic of Belnap and Ginsberg is presented. It is indicated how this theorem can be used for reasoning about knowledge bases with incomplete and inconsistent information.

In the Vocation of Man, Fichte makes the striking claim that life is eternal, rational, our true being, and the final cause of nature in general and of death in particular. How can we make sense of this claim? I argue that the public lectures that compose the Vocation are a popular expression of Fichte’s pre-existing commitment to what I call immortalism, the view that life is the unconditioned condition of intelligibility. Casting the I as an absolutely self-active or living (...) power enables his philosophical account of both the intelligibility of objects and of what it means to die. This explains his characterization of the Wissenschaftslehre as a system in which ‘all is act, movement, and life’. In Sect. 1, I explain the context of Jacobi’s use of ‘caput mortuum’ as a term for the thing in itself. In Sects. 2 and 3, I reconstruct two immortalist arguments from Fichte’s Jena period. The first is that the I’s self-activity rules out the existence of the thing in itself and thereby vanquishes ‘death’s head’. The second is that, insofar as the I charges us with the moral perfection of nature, it is the final cause of our entire life, including its end. This is to say that the I puts our every moment into question, even our last. In Sect. 4, I use these immortalist arguments to interpret the striking claim from the Vocation. (shrink)

The prospect of consumable meat produced in a laboratory setting without the need to raise and slaughter animals is both realistic and exciting. Not only could such in vitro meat become popular due to potential cost savings, but it also avoids many of the ethical and environmental problems with traditional meat productions. However, as with any new technology, in vitro meat is likely to face some detractors. We examine in detail three potential objections: 1) in vitro meat is disrespectful, either (...) to nature or to animals; 2) it will reduce the number of happy animals in the world; and 3) it will open the door to cannibalism. While each objection has some attraction, we ultimately find that all can be overcome. The upshot is that in vitro meat production is generally permissible and, especially for ethical vegetarians, worth promoting. (shrink)

The concept of facticity denotes conditions of experience whose necessity is not logical yet whose contingency is not empirical. Although often associated with Heidegger, Fichte coins ‘facticity’ in his Berlin period to refer to the conclusion of Kant’s metaphysical deduction of the categories, which he argues leaves it a contingent matter that we have the conditions of experience that we do. Such rhapsodic or factical conditions, he argues, must follow necessarily, independent of empirical givenness, from the I through a process (...) of ‘genesis.’ I reconstruct Fichte’s argument by tracing the origin of his neologism, presenting his Jena critique of Kant’s rhapsodic appeal to the forms of judgment, and illustrating the Jena period’s continuity with the Berlin period’s genetic method, while noting a methodological shift whereby Fichte directs his critique against his own doctrine of intellectual intuition in order to eliminate its ‘factical terms.’. (shrink)

A precursor to the hard problem of consciousness confronts nihilism. Like physicalism, nihilism collides with the first-personal fact of what perception and action are like. Unless this problem is solved, nature’s inclusion of conscious experience will remain, as Chalmers warns the physicalist, an “unanswered question” and, as Jacobi chides the nihilist, “completely inexplicable". One advantage of Kant’s Copernican turn is to dismiss the question that imposes this hard problem. We need not ask how nature is accompanied by the first-person standpoint (...) because “I think” is an apperceptive form of thinking that must be able to accompany any cognition of nature. Kant’s formal conception of apperception worries Fichte in his Nova Methodo lectures. This conception arguably cannot exhaust the ground of experience, for it does not show why we posit objects “at all". For Fichte, it is our agency that first opens a world of objects, viz., as subjects, means, ends, and obstacles. In what follows, I argue that, for Fichte, the I poses no hard problem because it collides exclusively with nihilistic views like Spinozism, which are refuted by a properly transcendental idealist conception of apperception, according to which the first-person standpoint is the absolute ground of our experience of nature. If transcendental idealism refutes nihilism, nature is no more explicable than that there is something it is like for me to perceive and act. In Section 1, I show why Kantian apperception is necessary for possible experience. In Section 2, I reconstruct Fichte’s argument that a modified conception of apperception refutes guises of nihilism, thereby solving the hard problem of consciousness. In Section 3, I suggest that transcendental idealism undermines Chalmers’ proposed solution to and Dennett’s dismissal of this problem. (shrink)

Supervaluationism is often described as the most popular semantic treatment of indeterminacy. There’s little consensus, however, about how to fill out the bare-bones idea to include a characterization of logical consequence. The paper explores one methodology for choosing between the logics: pick a logic thatnorms beliefas classical consequence is standardly thought to do. The main focus of the paper considers a variant of standard supervaluational, on which we can characterizedegrees of determinacy. It applies the methodology above to focus ondegree (...) logic. This is developed first in a basic, single-premise case; and then extended to the multipremise case, and to allowdegreesof consequence. The metatheoretic properties of degree logic are set out. On the positive side, the logic is supraclassical—all classical valid sequents are degree logic valid. Strikingly, metarules such as cut and conjunction introduction fail. (shrink)

This study determined the cognitive skills achievement in mathematics of elementary pre-service teachers as a basis for improving problem-solving and critical thinking which was analyzed using Piaget's seven logical operations namely: classification, seriation, logical multiplication, compensation, ratio and proportional thinking, probability thinking, and correlational thinking. This study utilized an adopted Test on Logical Operations (TLO) and descriptive research design to describe the cognitive skills achievement and to determine the affecting factors. Overall, elementary pre-service teachers performed with sufficient understanding in dealing (...) with the TLO. However, in each logical operation, students were found to have insufficient understanding of probability thinking and correlational thinking. These insufficiencies in other logical operations were attributed to their misconceptions on some mathematical terms, misinterpretation of the problems, poor comprehension skills, poor problem-solving skills, and poor performance in mathematics in general. (shrink)

A close look at Frege's proof in "Foundations of Arithmetic" that every number has a successor. The examination reveals a surprising gap in the proof, one that Frege would later fill in "Basic Laws of Arithmetic".

We present an interdisciplinary approach to study systematic relations between logical form and attacks between claims in an argumentative framework. We propose to generalize qualitative attack principles by quantitative ones. Specifically, we use coherent conditional probabilities to evaluate the rationality of principles which govern the strength of argumentative attacks. Finally, we present an experiment which explores the psychological plausibility of selected attack principles.

The aim of this paper is to emphasize the fact that for all finitely-many-valued logics there is a completely systematic relation between sequent calculi and tableau systems. More importantly, we show that for both of these systems there are al- ways two dual proof sytems (not just only two ways to interpret the calculi). This phenomenon may easily escape one’s attention since in the classical (two-valued) case the two systems coincide. (In two-valued logic the assignment of a truth value (...) and the exclusion of the opposite truth value describe the same situation.). (shrink)

The early 21st century has witnessed a significant rise in extreme nationalism, racism, and xenophobia, deeply affecting the rights of minorities such as the Roma, who have historically faced systemic discrimination and racism. Given that many political leaders who downplay minority rights often engage in populist discourse, a debate has emerged about the relationship between populism and minority rights. While many scholars argue that populism inherently undermines liberal principles like the protection of minorities, the question remains whether populism is necessarily (...) anti-pluralist and anti-minority. What about the case of left-wing populism? Furthermore, why is the relationship between anti-populism and minorities often overlooked? In this article, we examine the relationship between populism, anti-populism, and minorities through the case of two different governmental discourses in crisis-ridden Greece. Specifically, we focus on the governmental political discourse and policies of the populist SYRIZA (2015-2019) and the anti-populist ND (2019-2023) on Roma, with the aim of showing that populism is not necessarily anti-pluralist, while anti-populism is not always pluralist, as both phenomena can follow inclusionary or exclusionary logics. (shrink)

A construction principle for natural deduction systems for arbitrary, finitely-many-valued first order logics is exhibited. These systems are systematically obtained from sequent calculi, which in turn can be automatically extracted from the truth tables of the logics under consideration. Soundness and cut-free completeness of these sequent calculi translate into soundness, completeness, and normal-form theorems for natural deduction systems.

This is the text of Dr. Sterrett's replies to an interviewer's questions for simplycharly.com, a website with interviews by academics on various authors, philosophers, and scientists.

Two attitudes are possible: one, that the world is an absolute jungle and that the exercise of coercive power by rulers is only a manifestation of this; and the other, that it is both necessary and right that there should be this exercise of power, that through it the world is much less of a jungle than it could possibly be without it, so that one should in principle be glad of the existence of such power, and only take exception (...) to its unjust exercise. (shrink)

Departing from basic concepts in abstract logics, this paper introduces two concepts: conjunctive and disjunctive limits. These notions are used to formalize levels of modal operators.

This book is a translation of W.V. Quine's Kant Lectures, given as a series at Stanford University in 1980. It provide a short and useful summary of Quine's philosophy. There are four lectures altogether: I. Prolegomena: Mind and its Place in Nature; II. Endolegomena: From Ostension to Quantification; III. Endolegomena loipa: The forked animal; and IV. Epilegomena: What's It all About? The Kant Lectures have been published to date only in Italian and German translation. The present book is filled out (...) with the translator's critical Introduction, "The esoteric Quine?" a bibliography based on Quine's sources, and an Index for the volume. (shrink)

This research investigates 3- and 5-year-olds' relative fairness in distributing small collections of even or odd numbers of more or less desirable candies, either with an adult experimenter or between two dolls. The authors compare more than 200 children from around the world, growing up in seven highly contrasted cultural and economic contexts, from rich and poor urban areas, to small-scale traditional and rural communities. Across cultures, young children tend to optimize their own gain, not showing many signs of self-sacrifice (...) or generosity. Already by 3 years of age, self-optimizing in distributive justice is based on perspective taking and rudiments of mind reading. By 5 years, overall, children tend to show more fairness in sharing. What varies across cultures is the magnitude of young children's self-interest. More fairness (less self-interest) in distributive justice is evident by children growing up in small-scale urban and traditional societies thought to promote more collective values. (shrink)

In recent years, in the era of multiple crises, there are many political parties and leaders that use conspiracy theories in their discourse, trying to explain facts and figures on politics, economy, society, environment and space. There is an ongoing debate in populism studies on the possible connection between the populist phenomenon and conspiracy theories, thus creating two main theoretical camps. On the one hand, there are many scholars who recognize a strong correlation between the two phenomena, with some of (...) them believing that they are directly equated. On the other hand, there are several researchers who consider populism as a phenomenon with its own unique essence without predetermined characteristics. Hence, the question that arises here is: Is conspiracism endogenous to populism, or not? In this article, I first look at the definitions of conspiracy theories/conspiracism and populism, attempting to avoid stereotypical readings. After that, I highlight the discussion that takes place in academia around the internal features of the populist phenomenon and its possible connection with conspiracism, with the aim of showing that populism presents a unique logic, without a necessary connection to conspiracism. Finally, I focus on the Greek case of recent years, describing an example where the concept of conspiracy theory became a polemical tool against political rivals, negatively affecting politics and society. My analysis is based on post-structuralist theory and methodological tools of the Essex School of Discourse Analysis, taking into account aspects of other approaches to populism. (shrink)

While philosophers are often concerned with the conditions for moral knowledge or justification, in practice something arguably less demanding is just as, if not more, important – reliably making correct moral judgments. Judges and juries should hand down fair sentences, government officials should decide on just laws, members of ethics committees should make sound recommendations, and so on. We want such agents, more often than not and as often as possible, to make the right decisions. The purpose of this paper (...) is to propose a method of enhancing the moral reliability of such agents. In particular, we advocate for a procedural approach; certain internal processes generally contribute to people’s moral reliability. Building on the early work of Rawls, we identify several particular factors related to moral reasoning that are specific enough to be the target of practical intervention: logical competence, conceptual understanding, empirical competence, openness, empathy and bias. Improving on these processes can in turn make people more morally reliable in a variety of contexts and has implications for recent debates over moral enhancement. (shrink)

Materialism in the philosophy of mind — materialismPM — is the view that everything mental is material (or, equivalently, physical). Consciousness — pain, emotional feeling, sensory experience, and so on — certainly exists. So materialismPM is the view that consciousness is wholly material. It has, historically, nothing to do with denial of the existence of consciousness. Its heart is precisely the claim that consciousness — consciousness! — is wholly material. [2] ‘Physicalism’, the view introduced by members of the Vienna Circle (...) in the late 1920s, also has nothing to do with denial of the existence of consciousness. [3] Recently the words ‘materialism’ and ‘physicalism’ have come to be treated as synonymous, and as names for a position in the philosophy of mind that does involve denial of the existence of consciousness. They’ve been used to name a position that (i) directly rejects the heart of materialism (materialismPM) and (ii) is certainly false. This is a pity, because they’re good terms for a view that is very likely true. (shrink)

‘Facticity’ is a concept that classical phenomenologists like Heidegger use to denote the radically contingent or underivably brute conditions of intelligibility. Yet Fichte coins the term, to which he gives the opposing use of denoting unacceptably brute conditions of intelligibility. For him, radical contingency is a problem to be solved by deriving such conditions from reason. Heidegger rejects Fichte's recoil from facticity with his hermeneutics of facticity, supplanting Fichte's metaphor of our always being in reason's hand with the metaphor of (...) our always having been thrown. How does Heidegger inherit and diametrically repurpose Fichte's neologism? Whence the reversed meaning of ‘facticity’ in post-Kantian thought? The answer is Lask's doctoral thesis, which exerts an acknowledged impact on Heidegger's habilitation thesis. Lask interprets ‘facticity’ as Fichte's term for the individuality problem, that is, the resistance of the material particularity of individuals to explanation by the categories genetically deduced from reason. On his interpretation, ‘facticity’ denotes radical contingency in the guise of haecceity, that is, the brute uniqueness of individuals. Lask credits Fichte with registering the problem of individuality, which highlights the world's irreducibly precategorial character. But how is ‘facticity’ transmitted from Lask to Heidegger, given their opposing interpretations of how Fichte understands its meaning? I argue that (1) Lask misreads Fichte as a proponent of facticity, that is, one whose accommodation of radical contingency deflates the Wissenschaftslehre's systematic ambitions, and (2) Lask's misreading, without deceiving Heidegger regarding the sincerity of Fichte's ambitions, encourages Heidegger's own hermeneutics of facticity. (shrink)

This book presents a (new) attempt to apply the notion of an underlying logic to Aristotle’s Organon and certain passages of the Metaphysics. The author situates his approach as part of a ‘deductio...

Scholars agree that Schelling’s critique of Hegel consists in charging reason with an inability to account for its own possibility. This is not an attack on reason’s project of constructing a logical system, but rather on the pretense of doing so with complete justification and so without presuppositions, as if it were obvious why there is a logical system or why there is anything meaningful at all. Scholars accordingly cite the question ‘why is there something rather than nothing’ as emblematic (...) of Schelling’s critique and the source of his claim against Hegel that reason is bounded by something other than itself. But what sort of claim is this? For what sort of argument could it be the conclusion? On these questions, the literature is lacking. I propose that the question ‘why something’ motivates Schelling to give a transcendental argument to the effect that past and future are a priori conditions of the possibility of reason. As I reconstruct it from the Weltalter, this argument construes the past as the pre-rational decision to construct a logical system, while the future represents the purpose that guides the construction of the same. Schelling’s claim against Hegel that reason is bounded by something other is thus the discovery of inescapable presuppositions that condition the possibility of reason as such. (shrink)

Cushman, Young, & Greene (2010) urge the consolidation of moral psychology around a dual-system consensus. On this view, a slow, often-overstretched rational system tends to produce consequentialist intuitions and action-tendencies, while a fast, affective system produces virtuous (or vicious) intuitions and action-tendencies that perform well in their habituated ecological niche but sometimes disastrously outside of it. This perspective suggests a habit-corrected-by-reason picture of moral behavior. Recent research, however, has raised questions about the adequacy of dual-process theories of cognition and behavior, (...) which tend to distinguish categorically between fast, affect-laden, automatic, sometimes-unconscious, nearly-incorrigible mental processes and slow, rational, effortful, conscious, corrigible mental processes. Processes of one alleged type often have properties associated with the contrary type. For instance, rational processes can be emotional, and fast thinking can perform logical operations. In addition, the fast-slow binary transforms a continuous temporal scale into a dichotomous one, losing potentially important information along the way. While these problems are beginning to be addressed in some subfields of psychology, moral psychology has yet to grapple with them. In this theoretical paper, we argue that moral psychology needs a framework that accounts for our knowledge of both temporal and spatial (anatomical) dimensions of the brain basis of moral cognition and virtuous decision-making. We argue that methodologies with very fine-grained temporal granularity, such as electroencephalography (EEG), should be used to complement more frequently used methodologies such as functional magnetic resonance imaging (fMRI). We outline how this might be accomplished using generosity, gratitude, and integrity as a case study. (shrink)

This paper examines the debate between permissive and impermissive forms of Bayesianism. It briefly discusses some considerations that might be offered by both sides of the debate, and then replies to some new arguments in favor of impermissivism offered by Roger White. First, it argues that White’s (Oxford studies in epistemology, vol 3. Oxford University Press, Oxford, pp 161–186, 2010) defense of Indifference Principles is unsuccessful. Second, it contends that White’s (Philos Perspect 19:445–459, 2005) arguments against permissive views do not (...) succeed. (shrink)

This paper addresses debates in German idealism that arise in response to the modal shift in logic, proposed by Kant, from a logic of thinking to a logic of experience. With the Kantian logic of experience arises a problem of radical contingency or 'rhapsodic determination' for logic. While Fichte and Hegel attempt to resolve the problem of contingency by constructing rational systems aimed at established the grounds for logic, I show how Schelling brings into (...) view, in a proto-existentialist movement, the way in which the indeterminacy of the will undergirds rational system construction and, thereby, presents a limiting problem for the question of the value of system-building itself. (shrink)

German idealism stems in large part from Fichte’s response to a dilemma involving the concepts of pantheism, freedom and time: either time is the form of the determination of modes of substance, as held by a pantheistic or ‘dogmatic’ person, or the form of acts generated by human freedom, as held by an idealistic person. Fichte solves the dilemma by refuting dogmatism and deducing time from idealism’s first principle. But his diagnosis is more portentous: by casting the lemmas in terms (...) of person-types, he unintentionally invites Schelling’s philosophical rethinking of personality. In his middle period, Schelling argues for the consistency of the concepts of pantheism, freedom and time, claiming that it depends on a ‘good’ as opposed to ‘evil’ personality. However, since on his view personality is an absolute or originally undecided capacity for good and evil, the trio’s consistency is entirely contingent. In §1, I trace Fichte’s resolution of the dilemma. In §§2-3, I reconstruct Schelling’s arguments for consistency from the Freiheitsschrift and Weltalter, texts written just a few years apart. In §4, I allay a Kantian worry that this consistency relies problematically on the liberty of indifference or Willkür. (shrink)

In 2013, I've transformed the each_co_uk server side system (aspx / c#) to the client system of a few javascript files ≈400KB potentially webassembly, without plugins / 3rd party / css.. The system maximally reuses functions & data to apply: 1) Linguistic principle of arbitrariness of the sign maximizing repetitions, 2) Multi layer logic of the chess composition, 3) Information Theory minimizing entropy. Some of these ideas were presented at conferences in Santorini, Adelaide, Geneva, Daejon and virtually. Philosophically, any (...) system only organizes the existing reality (information), but can't create it. Its fragmentation easily leads to illusions (entropy): e.g. Zeno's Achilles can't overtake the slower tortoise because as he gets closer, the tortoise gets a bit further, so he gets closer and closer but never reaches her. So the more are logic and data fragmented in various layers (server, javascript, css, sql, frameworks..), the less capable system is. (shrink)

Meaning without Analyticity draws upon the author’s essays and articles, over a period of 20 years, focused on language, logic and meaning. The book explores the prospect of a non-behavioristic theory of cognitive meaning which rejects the analytic-synthetic distinction, Quinean behaviorism, and the logical and social-intellectual excesses of extreme holism. Cast in clear, perspicuous language and oriented to scientific discussions, this book takes up the challenges of philosophical communication and evaluation implicit in the recent revival of the pragmatist tradition—especially (...) those arising from its relation to prior American analytic thought. This volume continues the work of Callaway’s 1993 book, Context for Meaning and Analysis, building on the “turn toward pragmatism.” . (shrink)

Resumo A criação de bezerras está entre as atividades mais importantes da pecuária leiteira, pois reflete a genética e a produção do rebanho. Um bom manejo nutricional de novilhas durante a fase recria é essencial para o desenvolvimento ponderal adequado, pois melhora da função imunológica e precocidade reprodutiva. Este estudo teve como objetivo avaliar a relação do peso de novilhas holandesas com a idade na primeira inseminação artificial, primeiro parto e volume de leite produzido na primeira lactação. Foram utilizados os (...) registros de 200 novilhas holandesas submetidas a inseminação artificial em tempo fixo (IATF) em uma fazenda leiteira na região de Lagoa Formosa, MG, no período de janeiro a dezembro de 2020 a 2023, considerando informações sobre de ganho de peso no período de recria até o primeiro serviço idade na IATF e idade ao primeiro parto, produção de leite (em litros) e tempo de lactação. Os registros com as informações foram tabelados no software Exel® e avaliados. As novilhas foram divididas em três (3) grupos de acordo com o ganho de peso alcançado até a primeira inseminação, sendo: grupo A (GA) acima de 390 kg, grupo B (GB) de 360 a 389 kg e grupo C (GC) abaixo de 359 kg. O GA apresentou menor idade na primeira inseminação e no primeiro parto e maior produção de leite, porém a duração da lactação foi menor em relação aos demais grupos. O escore corporal se mostrou determinante para o bom desempenho na reprodução, na produção e na geração de renda ao produtor. -/- Abstract Raising calves is among the most important activities in dairy farming, as it reflects the genetics and production of the herd. Good nutritional management of heifers during the rearing phase is essential for adequate weight development, as it improves immune function and reproductive precocity. This study aimed to evaluate the relationship between the weight of Holstein heifers and age at first artificial insemination, first calving and volume of milk produced in the first lactation. We used the records of 200 Holstein heifers submitted to fixed-time artificial insemination (FTAI) on a dairy farm in the region of Lagoa Formosa, MG, from January to December 2020 to 2023, considering information on weight gain in the period from rearing to first service age at TAI and age at first calving, milk production (in liters) and lactation time. The records with the information were tabulated in the Exel® software and evaluated. The heifers were divided into three (3) groups according to the weight gain achieved until the first insemination, being: group A (GA) above 390 kg, group B (GB) from 360 to 389 kg and group C (GC) below 359 kg. The GA showed a younger age at first insemination and first birth and higher milk production, but the duration of lactation was shorter compared to the other groups. Body score proved to be decisive for good performance in reproduction, production and income generation for the producer. -/- Resumen La cría de terneros es una de las actividades más importantes en la ganadería lechera, ya que refleja la genética y la producción del rebaño. Un buen manejo nutricional de las novillas durante la fase de cría es esencial para un adecuado desarrollo del peso, ya que mejora la función inmune y la precocidad reproductiva. Este estudio tuvo como objetivo evaluar la relación entre el peso de las vaquillonas Holstein y la edad a la primera inseminación artificial, primer parto y el volumen de leche producida en la primera lactancia. Se utilizaron los registros de 200 novillas Holstein sometidas a inseminación artificial en tiempo fijo (FTAI) en una granja lechera de la región de Lagoa Formosa, MG, de enero a diciembre de 2020 a 2023, considerando información sobre ganancia de peso en el período de recría a primera edad de servicio en TAI y edad al primer parto, producción de leche (en litros) y tiempo de lactancia. Los registros con la información fueron tabulados en el software Exel® y evaluados. Las vaquillonas se dividieron en tres (3) grupos de acuerdo a la ganancia de peso lograda hasta la primera inseminación, siendo: grupo A (GA) por encima de 390 kg, grupo B (GB) de 360 a 389 kg y grupo C (GC) por debajo de 359 kg. El AG mostró una menor edad a la primera inseminación y al primer parto y mayor producción de leche, pero la duración de la lactancia fue menor en comparación con los otros grupos. La puntuación corporal resultó ser determinante para un buen desempeño en la reproducción, la producción y la generación de ingresos para el productor. (shrink)

FROM THE HISTORY OF PHYSICS TO THE DISCOVERY OF THE FOUNDATIONS OF PHYSICS By Antonino Drago, formerly at Naples University “Federico II”, Italy – drago@unina,.it (Size : 391.800 bytes 75,400 words) The book summarizes a half a century author’s work on the foundations of physics. For the forst time is established a level of discourse on theoretical physics which at the same time is philosophical in nature (kinds of infinity, kinds of organization) and formal (kinds of mathematics, kinds of (...) class='Hi'>logic). This double side of the two dichotomies assures a deep comprehension of theoretical physics by avoiding both a purely philosophical analysis and a purely formal analysis, each manifestly insufficient for representing all the aspects of theoretical physics. Among the many formulations of a physical theory, e.g. Mechanics, also Mach(1) recognized technical differences only, Instead my suggestion is to consider their differences as revealing the characteristic features of their foundations. No more radical differences may exist than those concerning both their kinds of Mathematics and their kinds of Logic. As a fact, after the 20th Century within each of these sciences there exist two antagonist foundations, within Mathematics either the classical one or the constructive one(2); within Mathematical Logic either the classical logic or the intuitionist one(3). Let us take Mechanics as an instance. Being the choices of the Newton’s formulation respectively the actual infinity of the differential equations relying on the infinitesimals and the classical logic, a formulation based on the alternative choices is Lazare Carnot’s,(4) whose mathematics is no more than algebraic-trigonometric and the logic is the intuitionist one, because this formulation makes use of doubly negated propositions, whose corresponding affirmative propositions are idealistic or false; i.e. in these cases the law of double negation fails, as in intuitionist logic occurs. By considering these two dichotomies as the foundations of the physical theories, each couple of choices upon them fashions one out four models of scientific theory, which are baptized through the authors of their most representative theories: Newtonian, Carnotian, Lagrangian, Descartesian. In correspondence four versions of the principle of inertia are recognized, as suggested by respectively: Descartes. Lazare Carnot, Enriques and Cavalieri.(5) All that suggests that the four models of scientific theory may be graphically represented as a compass orientating our minds amid the so numerous physical theories. By taking these dichotomies as interpretative categories, a new interpretative history of Physics including both classical and modern physics results according to a quadrilinear development. The birth of modern physics is characterized by the two theories - Einstein’s paper on special relativity and Einstein’s first paper on quanta - whose choices are the alternative ones to those of the previously dominant physical theory, Newtonian mechanics: in the latter paper Einstein i) declares the dichotomy on the kinds of mathematics (“Introduction”) and then he chooses the discrete mathematics; ii) by using doubly negated propositions he organizes his theory in an alternative way to the deductive-axiomatic one.(6) Moreover, a new history of Philosophy of knowledge results. Kant’s first two a priori transcendental categories represent the physical interpretation of the two choices out of the four pairs of choices on the two dichotomies, i.e. the choices of the dominant theory of mechanics, Newton’s. Hegel’s dialectic was a misleading attempt of anticipating the subsequent intuitionist logic. The book starts by a comparison of different formulations of thermodynamics in order to recognize the first dichotomy on the kind of organization. In chapter 2 the dichotomy on the kind of infinity is recognized through a comparison of Newrton’s mechanics and Lazare Carnot’s. A quickly history of the other classical physical theories is illustrated in chapter 3; it results a foundational conflict between the last two theories, and hence a conflict between their opposite couples of choices. The two main theories of modern physics, special realtivity and quantum mechanics confirm the foundational role played by the two dichotomies which gives reason for the radical change in the history of theoretical physics. Indeed, the opposition of the two main pairs of choices gives reason of the crisis in theoretical physics in the early 1900s. As a global result, the book represents the first interpretation of the entire history of Physics, both classical and modern; This fact proves that the four models of scientific theories can works as a compass (that of the front cover) suggesting a direction among the many physical theories. This new history of physics leads to re-visit both Koyré’s and Kuhn’s historiographies. Their interpretative categories are interpreted and explained through the two dichotomies so that it is possible to suggest à la Koyré categories based on the alternative choices theories to Newton’s as the suitable categories for interpreting the alternative theories to Newton’s mechanics. All that suggests a new interpretation of the crucial step in the history of Western philosophy of knowledge, i.e. the passage from Leibniz to Kant: Leibniz’s suggestion of the two labyrinths of human minds may be seen as a close anticipation of the two above dichotomies. Kant applied them in order to construct the well-known four cosmological proofs, which however he misinterpreted as leading to contradictions, instead to tow different methods of investigation corresponding to the two different kinds of logic.(7) Bibliography 1. Mach E. (1883), Die Mechanik, Leipzig: Brockhaus, Chap. IV, Sect. III. 2. Bishop E. (1967), Constructive Analysis, New York: Mc Graw-Hill. 3. Heyting A. (1962), Intuitionism. An Introduction, Amsterdam: North-Holland. 4. L. Carnot (1783), Essai on the Machines en général, Defay, Dijion (Enlish translation: Springer, Berlin, 2020). Drago A. (2004), “A new appraisal of old formulations of mechanics”, Am. J. Phys., 72(3), pp. 407-9. 5. Vella M.R. (2007), “Le quattro versioni del principio di inerzia”, in M. Leone et al. (eds.), L’eredità di Fermi, Majorana e altri Temi. Napoli: ESI, pp. 147-151. 6. Drago A. (2014), “The emergence of two options from Einstein°s first paper on Quanta”, in Pisano R., Capecchi D., Lukesova A. (eds.), Physics, Astronomy and Engineering. Critical Problems in the History of Science and Society, Scientia Socialis P., Siauliai, 2013, pp. 227-234. 7. This and all in the above points are illustrated by the book Drago A. (2017), Dalla Storia della Fisica ai Fondamenti della Scienza, Roma: Aracne. (shrink)

Schelling scholars face an uphill battle. His confinement to the smallest circles of ‘continental’ thought puts him at the margins of what today counts as philosophy. His eclipse by Fichte and Hegel and inheritance by better-read thinkers like Kierkegaard and Heidegger tend to reduce him to a historical footnote. And the sometimes obscure formulations he uses makes the otherwise difficult writings of fellow post-Kantians seem comparatively more accessible. For those seeking to widen these circles, see through this eclipse and elucidate (...) these formulations, a deeper internal challenge is to make sense of the appearance and disappearance of intellectual intuition in Schelling’s work. The term’s apotheosis is often attributed to the height of German idealism and especially to Schelling’s identity philosophy, outside which he subjects the term to a radical critique. The identity philosophy aims to cognize the absolute ground of the system of knowledge and the system of nature, for which cognition Schelling enlists intellectual intuition. While the identity philosophy falls between a Fichtean debut and a late attack on Hegel, it is difficult to determine its exact parameter. I propose that a necessary condition for doing so is to clarify the explanatory role of intellectual intuition—that is, the specific problem to which it is the intended solution—on which the identity philosophy depends. To this end, I will trace a nexus of problems that Schelling’s use of intellectual intuition is meant to solve. Doing so will not only help to delineate the identity philosophy, but show it to be continuous with Schelling’s earlier and later periods. In §1, I account for the nexus of the problems of grounding, freedom and meaning. These problems demand, respectively, a principle by which cognition forms a system rather than an aggregate, a principle by which a system of cognition is compatible with freedom rather than incompatible and a principle by which a system of freedom can show why there is meaning rather than none. In §2, I reconstruct Schelling’s argument in the identity philosophy for why intellectual intuition can resolve this nexus of problems and, in §3, his arguments during other periods of his thought for why it cannot. I conclude in §4 by suggesting why the identity philosophy is continuous with these periods. Beyond fulfilling the interpretive task of making sense of intellectual intuition in Schelling’s sprawling corpus, my aim is thus to contribute to a unified reading of the latter. (shrink)