Infinitism

Epistemic infinitism is the view that infinite series of inferential relations are productive of epistemic justification. Peirce is explicitly infinitist in his early work, namely his 1868 series of articles. Further, Peirce's semiotic categories of firsts, seconds, and thirds favors a mixed theory of justification. The conclusion is that Peirce was an infinitist, and particularly, what I will term an impure infinitist. However, the prospects for Peirce's infinitism depend entirely on the prospects for Peirce's early semantics, which are not good. (...) Peirce himself revised the semantic theory later, and in so doing, it seems also his epistemic infinitism. (shrink)

Fading Foundations: Probability and the Regress Problem. By Atkinson David, Peijnenburg Jeanne.

This monography provides an overview of the conceptual developments that leads from the traditional views of infinite (and their paradoxes) to the contemporary view in which those old paradoxes are solved but new problems arise. Also a particular insight in the problem of continuity is given, followed by applications in theory of computability.

A superb effort, but in my view Wittgenstein (i.e., philosophy or the descriptive psychology of higher order thought) is not completely understood by anyone, so we can hardly expect Budd, writing in the mid 80’s, without the modern dual systems of thought view, and no comprehensive logical structure of rationality, to have grasped him completely. Like everyone, he does not get that W’s use of the word ‘grammar’ refers to our innate Evolutionary Psychology and the general framework of Wittgenstein’s and (...) Searle’s work since laid out (e.g., in my recent articles) was unavailable to him. Nevertheless, he does a good job and nicely complements the work by Johnston (Wittgenstein: Rethinking the Inner) which I have also reviewed. Budd’s summary is a fitting end to the book (p165). “The repudiation of the model of ‘object and designation’ for everyday psychological words—the denial that the picture of the inner process provides a correct representation of the grammar of such words, is not the only reason for Wittgenstein’s hostility to the use of introspection in the philosophy of psychology. But it is its ultimate foundation.” -/- An excellent study, but in my view, like them all, it falls short of a full appreciation of W as I explain here and in my other reviews. -/- Those wishing a comprehensive up to date framework for human behavior from the modern two systems view may consult my book ‘The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle’ 2nd ed (2019). Those interested in more of my writings may see ‘Talking Monkeys--Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet--Articles and Reviews 2006-2019 3rd ed (2019), The Logical Structure of Human Behavior (2019), and Suicidal Utopian Delusions in the 21st Century 4th ed (2019) . (shrink)

Ludwig Wittgenstein is the most famous philosopher of modern times but very few understand his pioneering work and there has been a collective amnesia regarding him in recent decades. Most of the essays are new but some date as far back as 1979 and whether they give a new view of his ideas depends on one’s understanding of what he said. For me, the interpretations are not new and mostly just as confused as nearly all the other commentary on W (...) and on human behavior throughout the behavioral sciences and by the general public. As usual, nobody seems to grasp that philosophy is armchair psychology, and that W was (in my view) the greatest natural psychologist of all time. He laid out the general structure of how the mind works, which is often referred to as intentionality and is roughly equivalent to cognition or personality or thinking and willing or higher order thought (HOT). He can thus be regarded as a pioneer in evolutionary psychology, although hardly anyone but me seems to realize it. W was thus nearly 50 years ahead of his time as the first to reject (though not entirely consistently) the blank slate or cultural view of human nature, though this has gone unrecognized and he has generally been interpreted as supporting a communal consensus view of psychology—exactly the opposite of his overall thrust (e.g., see Short’s comment on p 115). -/- I provide a table of intentionality for a current frame of reference from the two systems point of view before remarking on each of the essays. -/- Those wishing a comprehensive up to date framework for human behavior from the modern two systems view may consult my book ‘The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle’ 2nd ed (2019). Those interested in more of my writings may see ‘Talking Monkeys--Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet--Articles and Reviews 2006-2019 3rd ed (2019) and Suicidal Utopian Delusions in the 21st Century 4th ed (2019). (shrink)

Horwich gives a fine analysis of Wittgenstein (W) and is a leading W scholar, but in my view, they all fall short of a full appreciation, as I explain at length in this review and many others. If one does not understand W (and preferably Searle also) then I don't see how one could have more than a superficial understanding of philosophy and of higher order thought and thus of all complex behavior (psychology, sociology, anthropology, history, literature, society). In a (...) nutshell, W demonstrated that when you have shown how a sentence is used in the context of interest, there is nothing more to say. I will start with a few notable quotes and then give what I think are the minimum considerations necessary to understand Wittgenstein, philosophy and human behavior. -/- First one might note that putting “meta” in front of any word should be suspect. W remarked e.g., that metamathematics is mathematics like any other. The notion that we can step outside philosophy (i.e., the descriptive psychology of higher order thought) is itself a profound confusion. Another irritation here (and throughout academic writing for the last 4 decades) is the constant reverse linguistic sexism of “her” and “hers” and “she” or “he/she” etc., where “they” and “theirs” and “them” would do nicely. Likewise, the use of the French word 'repertoire' where the English 'repertory' will do quite well. The major deficiency is the complete failure (though very common) to employ what I see as the hugely powerful and intuitive two systems view of HOT and Searle’s framework which I have outlined above. This is especially poignant in the chapter on meaning p111 et seq. (especially in footnotes 2-7), where we swim in very muddy water without the framework of automated true only S1, propositional dispositional S2, COS etc. One can also get a better view of the inner and the outer by reading e.g., Johnston or Budd (see my reviews). Horwich however makes many incisive comments. I especially liked his summary of the import of W’s anti-theoretical stance on p65. He needs to give more emphasis to ‘On Certainty’, recently the subject of much effort by Daniele Moyal- Sharrock, Coliva and others and summarized in my recent articles. -/- Horwich is first rate and his work well worth the effort. One hopes that he (and everyone) will study Searle and some modern psychology as well as Hutto, Read, Hutchinson, Stern, Moyal-Sharrock, Stroll, Hacker and Baker etc. to attain a broad modern view of behavior. Most of their papers are on academia dot edu and philpapers dot org , but for PMS Hacker see his papers on his Oxford page. -/- He gives one of the most beautiful summaries of where an understanding of Wittgenstein leaves us that I have ever seen. -/- “There must be no attempt to explain our linguistic/conceptual activity (PI 126) as in Frege’s reduction of arithmetic to logic; no attempt to give it epistemological foundations (PI 124) as in meaning based accounts of a priori knowledge; no attempt to characterize idealized forms of it (PI 130) as in sense logics; no attempt to reform it (PI 124, 132) as in Mackie’s error theory or Dummett’s intuitionism; no attempt to streamline it (PI 133) as in Quine’s account of existence; no attempt to make it more consistent (PI 132) as in Tarski’s response to the liar paradoxes; and no attempt to make it more complete (PI 133) as in the settling of questions of personal identity for bizarre hypothetical ‘teleportation’ scenarios.” -/- Finally, let me suggest that with the perspective I have encouraged here, W is at the center of contemporary philosophy and psychology and is not obscure, difficult or irrelevant, but scintillating, profound and crystal clear and that to miss him is to miss one of the greatest intellectual adventures possible. -/- Those wishing a comprehensive up to date framework for human behavior from the modern two systems view may consult my book ‘The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle’ 2nd ed (2019). Those interested in more of my writings may see ‘Talking Monkeys--Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet--Articles and Reviews 2006-2019 3rd ed (2019), The Logical Structure of Human Behavior (2019), and Suicidal Utopian Delusions in the 21st Century 4th ed (2019) . (shrink)

In a series of papers, Adam Leite has developed a novel view of justification tied to being able to responsibly justify a belief. Leite touts his view as faithful to our ordinary practice of justifying beliefs, providing a novel response to an epistemological problem of the infinite regress, and resolving the “persistent interlocutor” problem. Though I find elements of Leite’s view of being able to justify a belief promising, I hold that there are several problems afflicting the overall picture of (...) justification. In this paper, I argue that despite its ambitions, Leite’s view fails to solve the persistent interlocutor problem and does not avoid a vicious regress. (shrink)

There is a long-standing debate in epistemology on the structure of justification. Some recent work in formal epistemology promises to shed some new light on that debate. I have in mind here some recent work by David Atkinson and Jeanne Peijnenburg, hereafter “A&P”, on infinite regresses of probabilistic support. A&P show that there are probability distributions defined over an infinite set of propositions {\ such that \ is probabilistically supported by \ for all i and \ has a high probability. (...) Let this result be “APR”. A&P oftentimes write as though they believe that APR runs counter to foundationalism. This makes sense, since there is some prima facie plausibility in the idea that APR runs counter to foundationalism, and since some prominent foundationalists argue for theses inconsistent with APR. I argue, though, that in fact APR does not run counter to foundationalism. I further argue that there is a place in foundationalism for infinite regresses of probabilistic support. (shrink)

An agent’s belief in a proposition, E0, is justified by an infinite regress of deferred justification just in case the belief that E0 is justified, and the justification for believing E0 proceeds from an infinite sequence of propositions, E0, E1, E2, etc., where, for all n ≥ 0, En+1 serves as the justification for En. In a number of recent articles, Atkinson and Peijnenburg claim to give examples where a belief is justified by an infinite regress of deferred justification. I (...) argue here that there is no reason to regard Atkinson and Peijnenburg’s examples as cases where a belief is so justified. My argument is supported by careful consideration of the grounds upon which relevant beliefs are held within Atkinson and Peijnenburg’s examples. (shrink)

A short book meant to take honest and determined seekers to the Ultimate Truth.The reality about (our) ‘presence’ is that it is the becoming of the Ultimate Truth it self. -/- .

This paper evaluates Peter Klein’s objection to foundationalism. According to Klein, foundationalism fails because it allows arbitrariness “at the base.” I first explain that this objection can be interpreted in two ways: either as targeting dialectical foundationalism or as targeting epistemic foundationalism. I then clarify Klein’s concept of arbitrariness. An assertion or belief is assumed to be arbitrary if and only if it lacks a reason that is “objectively and subjectively available.” Drawing on this notion, I evaluate Klein’s objection. I (...) first argue that his objection construed as targeting dialectical foundationalism fails, since nothing prevents dialectical foundationalism from ruling out arbitrary assertions. I then argue that the objection seen as targeting epistemic foundationalism cannot be disqualified in the way some foundationalists believe. However, I show that also the objection so construed does not succeed, since epistemic foundationalism need not countenance arbitrary beliefs. (shrink)

According to Peter Klein, foundationalism fails because it allows a vicious form of arbitrariness. The present article critically discusses his concept of arbitrariness. It argues that the condition Klein takes to be necessary and sufficient for an epistemic item to be arbitrary is neither necessary nor sufficient. It also argues that Klein's concept of arbitrariness is not a concept of something that is obviously vicious. Even if Klein succeeds in establishing that foundationalism allows what he regards as arbitrariness, this does (...) not yet mean that he confronts it with a sound objection. (shrink)

Once upon a time, coherentism was the dominant response to the regress problem in epistemology, but in recent decades the view has fallen into disrepute: now almost everyone is a foundationalist (with a few infinitists sprinkled here and there). In this paper, I sketch a new way of thinking about coherentism, and show how it avoids many of the problems often thought fatal for the view, including the isolation objection, worries over circularity, and concerns that the concept of coherence is (...) too vague or metaphorical for serious theoretical use. The key to my approach is to take a familiar tool from discussions of the regress problem -- namely, directed graphs depicting the support relations between beliefs -- and to use that tool in a more sophisticated manner than it is standardly employed. (shrink)

Recent work by Peijnenburg, Atkinson, and Herzberg suggests that infinitists who accept a probabilistic construal of justification can overcome significant challenges to their position by attending to mathematical treatments of infinite probabilistic regresses. In this essay, it is argued that care must be taken when assessing the significance of these formal results. Though valuable lessons can be drawn from these mathematical exercises (many of which are not disputed here), the essay argues that it is entirely unclear that the form of (...) infinitism that results meets a basic requirement: namely, providing an account of infinite chains of propositions qua reasons made available to agents. (shrink)

It is standardly believed that the only way to justify an assertion in the face of a challenge is by making another assertion. Call this claim ASSERTIONS ONLY. Besides its intrinsic interest, ASSERTIONS ONLY is relevant to deciding between competing views of the norms that govern reasoned discourse. ASSERTIONS ONLY is also a crucial part of the motivation for infinitism and Pyrrhonian skepticism. I suggest that ASSERTIONS ONLY is false: I can justify an assertion by drawing attention to something that (...) clearly makes the assertion true, or likely true. (shrink)

Foundationalism is false; after all, foundational beliefs are arbitrary, they do not solve the epistemic regress problem, and they cannot exist withoutother (justified) beliefs. Or so some people say. In this essay, we assess some arguments based on such claims, arguments suggested in recent work by Peter Klein and Ernest Sosa.

This chapter has two goals: to motivate the foundationalist solution to the regress problem and to defend it against arguments from Sellars, BonJour and Klein. Both the motivation and the defence of foundationalism raise larger questions about the relationship between foundationalism and access internalism. I argue that foundationalism is not in conflict with access internalism, despite influential arguments to the contrary, and that access internalism in fact supplies a theoretical motivation for foundationalism. I conclude that foundationalism and access internalism form (...) a coherent and well-motivated package. (shrink)

According to Agrippa's trilemma, an attempt to justify something leads to either infinite regress, circularity, or dogmatism. This essay examines whether and to what extent the trilemma applies to ethics. There are various responses to the trilemma, such as foundationalism, coherentism, contextualism, infinitism, and German idealism. Examining those responses, the essay shows that the trilemma applies at least to rational justification of contentful moral beliefs. This means that rationalist ethics based on any contentful moral belief are rationally unjustifiable.

Klein’s account of epistemic justification, infinitism, supplies a novel solution to the regress problem. We argue that concentrating on the normative aspect of justification exposes a number of unpalatable consequences for infinitism, all of which warrant rejecting the position. As an intermediary step, we develop a stronger version of the ‘finite minds’ objection.