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)

This paper presents a uniform general account of regress problems in the form of a pentalemma—i.e., a set of five mutually inconsistent claims. Specific regress problems can be analyzed as instances of such a general schema, and this Regress Pentalemma Schema can be employed to generate deductively valid arguments from the truth of a subset of four claims to the falsity of the fifth. Thus, a uniform account of the nature of regress problems allows for an (...) improved understanding of specific regress objections or arguments, and, correspondingly, of the general logical geography of the debate about infinite regresses. This uniform approach is illustrated by a treatment of the classical epistemological problem of justification, but it encompasses a whole variety of cases including explanation and ontological grounding. Furthermore, this general account is compared and contrasted with the existing literature discussing argument schemata for regress objections, particularly with the work of Jan Willem Wieland. It is shown how such other schemata can be incorporated and superseded by the general Regress Pentalemma Schema. (shrink)

This Open Access book addresses the age-old problem of infinite regresses in epistemology. How can we ever come to know something if knowing requires having good reasons, and reasons can only be good if they are backed by good reasons in turn? The problem has puzzled philosophers ever since antiquity, giving rise to what is often called Agrippa's Trilemma. The current volume approaches the old problem in a provocative and thoroughly contemporary way. Taking seriously the idea that (...) good reasons are typically probabilistic in character, it develops and defends a new solution that challenges venerable philosophical intuitions and explains why they were mistakenly held. Key to the new solution is the phenomenon of fading foundations, according to which distant reasons are less important than those that are nearby. The phenomenon takes the sting out of Agrippa's Trilemma; moreover, since the theory that describes it is general and abstract, it is readily applicable outside epistemology, notably to debates on infinite regresses in metaphysics. (shrink)

I give an interpretation according to which Meno’s paradox is an epistemic regress problem. The paradox is an argument for skepticism assuming that (1) acquired knowledge about an object X requires prior knowledge about what X is and (2) any knowledge must be acquired. (1) is a principle about having reasons for knowledge and about the epistemic priority of knowledge about what X is. (1) and (2) jointly imply a regress-generating principle which implies that knowledge always requires (...) an infinite sequence of known reasons. Plato’s response to the problem is to accept (1) but reject (2): some knowledge is innate. He argues from this to the conclusion that the soul is immortal. This argument can be understood as a response to an Eleatic problem about the possibility of coming into being that turns on a regress-generating causal principle analogous to the regress-generating principle presupposed by Meno’s paradox. (shrink)

Andrew Cling presents a new version of the epistemic regress problem, and argues that intuitionist foundationalism, social contextualism, holistic coherentism, and infinitism fail to solve it. Cling’s discussion is quite instructive, and deserving of careful consideration. But, I argue, Cling’s discussion is not in all respects decisive. I argue that Cling’s dilemma argument against holistic coherentism fails.

A novel solution is offered for how emotional experiences can function as sources of immediate prima facie justification for evaluative beliefs, and in such a way that suffices to halt a justificatory regress. Key to this solution is the recognition of two distinct kinds of emotional skill (what I call generative emotional skill and doxastic emotional skill) and how these must be working in tandem when emotional experience plays such a justificatory role. The paper has two main parts, the (...) first negative and the second positive. The negative part criticises the epistemic credentials of Epistemic Perceptualism (e.g., Tappolet 2012, 2016; Doring 2003, 2007; Elgin 2008; Roberts 2003), the view that emotional experience alone suffices to prima facie justify evaluative beliefs in a way that is analogous to how perceptual experience justifies our beliefs about the external world. The second part of the paper develops an account of emotional skill and uses this account to frame a revisionary form of Epistemic Perceptualism that succeeds where the traditional views could not. I conclude by considering some objections and replies. (shrink)

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

Since the resurgence of infinitism in contemporary epistemology, Peter Klein has been consistent in providing arguments against the three other possible solutions (i.e., foundationalism, coherentism, skepticism) to the Regress Problem, which in turn is a key aspect of the justification condition for the traditional account of knowledge as justified true belief. Klein’s successful effort in reviving the often-dismissed solution and further advancing it as the sole solution to the Regress Problem cannot be ignored as he finds (...) it necessary to not only raise problems for the viability of the three contenders but, more so, definitively invalidate them as equally possible solutions. This paper responds to Klein’s objection to foundationalism, the crucial reasons for which he offers in several of his works concerning infinitism and the Regress Problem: i) that foundationalism inevitably leads either to arbitrariness or to the continuation of the regress of reasons; ii) that a proposition continuously enhanced by reasons has more epistemic warrant than a proposition supported by a chain of reasons which ends at basic beliefs, and; iii) that basic beliefs are not tantamount to fully justified beliefs. For each, certain problems can be raised by employing foundationalist arguments in order to arrive at the conclusion that in spite of his astute reasoning, Klein’s objection is insufficient to rule out foundationalism as a possible solution to the Regress Problem. (shrink)

A theory of truth is introduced for a first--order language L of set theory. Fully interpreted metalanguages which contain their truth predicates are constructed for L. The presented theory is free from infinite regress, whence it provides a proper framework to study the regress problem. Only ZF set theory, concepts definable in L and classical two-valued logic are used.

In this paper a class of languages which are formal enough for mathematical reasoning is introduced. Its languages are called mathematically agreeable. Languages containing a given MA language L, and being sublanguages of L augmented by a monadic predicate, are constructed. A mathematical theory of truth (shortly MTT) is formulated for some of those languages. MTT makes them fully interpreted MA languages which posses their own truth predicates. MTT is shown to conform well with the eight norms formulated for theories (...) of truth in the paper 'What Theories of Truth Should be Like (but Cannot be)', by Hannes Leitgeb. MTT is also free from infinite regress, providing a proper framework to study the regress problem. Main tools used in proofs are Zermelo-Fraenkel (ZF) set theory and classical logic. (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)

How should you decide what to do when you’re uncertain about basic normative principles? A natural suggestion is to follow some "second-order:" norm: e.g., obey the most probable norm or maximize expected choiceworthiness. But what if you’re uncertain about second-order norms too—must you then invoke some third-order norm? If so, any norm-guided response to normative uncertainty appears doomed to a vicious regress. This paper aims to rescue second-order norms from the threat of regress. I first elaborate and defend (...) the claim some philosophers have made that the regress problem forces us to accept normative externalism, the view that at least one norm is incumbent on all agents regardless of their normative beliefs. But, I then argue, we need not accept externalism about first-order norms, thus closing off any question of how agents should respond to normative uncertainty. Rather, we can head off the threat of regress by ascribing external force to a single second-order norm: the enkratic principle. (shrink)

The Problem of Epistemic Regress in Contemporary Epistemology and The Adequacy of Improved Solution Suggestions One of the main problems of epistemology; whether our beliefs about the world are correct or not, that is to say, it’s the problem of whether we have suitable reasons or not to think that we have the enough knowledge. The value of our beliefs and its epistemic justifiability are being examined through this problem. In this respect, Undoubtedly; one of the (...) greatest problem of contemporary epistemology is the problem of epistemic regress that is a problem of justification. On the other hand the solution suggestions developed for this problem, which is shown as a threat factor for the knowledge in point, don’t seem sufficient. In this article, the problem of epistemic regress which is emerging in the contemporary period will be discussed by examining the perspectives of tradition and contemporary epistemology. Four different and similar basic approaches that arise resulting from the problem of regress solution proposals brought by foundationalism, compatibilism, externalism and internalism will be analyzed. (shrink)

Simple regression (regression analysis with a single explanatory variable), and multiple regression (regression models with multiple explanatory variables), typically correspond to very different biological questions. The former use regression lines to describe univariate associations. The latter describe the partial, or direct, effects of multiple variables, conditioned on one another. We suspect that the superficial similarity of simple and multiple regression leads to confusion in their interpretation. A clear understanding of these methods is essential, as they underlie a large range of (...) procedures in common use in biology. Beyond simple and multiple regression in their most basic forms, understanding the key principles of these procedures is critical to understanding, and properly applying, many methods, such as mixed models, generalised models, and causal inference using graphs (including path analysis and its extensions). A simple, but careful, look at the distinction between these two analyses is valuable in its own right, and can also be used to clarify widely-held misconceptions about collinearity (correlations among explanatory variables). There is no general sense in which collinearity is a problem. We suspect that the perception of collinearity as a hindrance to analysis stems from misconceptions about interpretation of multiple regression models, and so we pursue discussions about these misconceptions in this light. In particular, collinearity causes multiple regression coefficients to be less precisely estimated than corresponding simple regression coefficients. This should not be interpreted as a problem, as it is perfectly natural that direct effects should be harder to characterise than univariate associations. Purported solutions to the perceived problems of collinearity are detrimental to most biological analyses. (shrink)

How should you decide what to do when you're uncertain about basic normative principles (e.g., Kantianism vs. utilitarianism)? A natural suggestion is to follow some "second-order" norm: e.g., "comply with the first-order norm you regard as most probable" or "maximize expected choiceworthiness". But what if you're uncertain about second-order norms too -- must you then invoke some third-order norm? If so, it seems that any norm-guided response to normative uncertainty is doomed to a vicious regress. In this paper, I (...) aim to rescue second-order norms from this threat of regress. I first elaborate and defend the suggestion some philosophers have entertained that the regress problem forces us to accept normative externalism, the view that at least one norm is incumbent on agents regardless of their beliefs or evidence concerning that norm. But, I then argue, we need not accept externalism about first-order (e.g., moral) norms, thus closing off any question of what an agent should do in light of her normative beliefs. Rather, it is more plausible to ascribe external force to a single, second-order rational norm: the enkratic principle, correctly formulated. This modest form of externalism, I argue, is both intrinsically well-motivated and sufficient to head off the threat of regress. (shrink)

This study develops the approach by Minh & Khanh [1] to the classic Barro and Sala-i-Martin method [2], [3] named “expanded Barro regression method”, and applies this approach in analyzing the convergence of provincial per capita GDP in Vietnam over the period of 1991-2007. Different aspects of provincial convergence are considered in this paper. The estimated result on conver-gence from our model is compared to other models.

This paper uses a schema for infinite regress arguments to provide a solution to the problem of the infinite regress of justification. The solution turns on the falsity of two claims: that a belief is justified only if some belief is a reason for it, and that the reason relation is transitive.

In this work we propose an encoding of Reiter’s Situation Calculus solution to the frame problem into the framework of a simple multimodal logic of actions. In particular we present the modal counterpart of the regression technique. This gives us a theorem proving method for a relevant fragment of our modal logic.

This paper critically evaluates the regress argument for infinitism. The dialectic is essentially this. Peter Klein argues that only an infinitist can, without being dogmatic, enhance the credibility of a questioned non-evident proposition. In response, I demonstrate that a foundationalist can do this equally well. Furthermore, I explain how foundationalism can provide for infinite chains of justification. I conclude that the regress argument for infinitism should not convince us.

Van Fraassen's Judy Benjamin problem asks how one ought to update one's credence in A upon receiving evidence of the sort ``A may or may not obtain, but B is k times likelier than C'', where {A,B,C} is a partition. Van Fraassen's solution, in the limiting case of increasing k, recommends a posterior converging to the probability of A conditional on A union B, where P is one's prior probability function. Grove and Halpern, and more recently Douven and Romeijn, (...) have argued that one ought to leave credence in A unchanged, i.e. fixed at P(A). We argue that while the former approach is superior, it brings about a Reflection violation due in part to neglect of a ``regression to the mean'' phenomenon, whereby when C is eliminated by random evidence that leaves A and B alive, the ratio P(A):P(B) ought to drift in the direction of 1:1. (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.

I argue against the skeptical epistemological view exemplified by the Groarkes that “all theories of informal argument must face the regress problem.” It is true that in our theoretical representations of reasoning, infinite regresses of self-justification regularly and inadvertently arise with respect to each of the RSA criteria for argument cogency (the premises are to be relevant, sufficient, and acceptable). But they arise needlessly, by confusing an RSA criterion with argument content, usually premise material.

This book addresses the metaphysics of Armstrongian states of affairs, i.e. instantiations of naturalist universals by particulars. The author argues that states of affairs are the best candidate for truthmakers and, in the spirit of logical atomism, that we need no molecular truthmakers for positive truths. In the book's context, this has the pleasing result that there are no molecular states of affairs. Following this account of truthmaking, the author first shows that the particulars in (first-order) states of affairs are (...) bare particulars. He then argues that the properties in states of affairs are simple, non-relational and concrete universals. Next, he argues that (material) relations in states of affairs are external relations. Lastly, he argues that a state of affairs is unified by a distinctive formal relation without giving rise to Bradley’s regress. (shrink)

This paper aims to investigate Allan Gibbard’s norm-expressivist account of normativity. In particular, the aim is to see whether Gibbard’s theory is able to account for the normativity of reason-claims. For this purpose, I first describe how I come to targeting Gibbard’s theory by setting out the main tenets of quasi-realism cum expressivism. After this, I provide a detailed interpretation of the relevant parts of Gibbard’s theory. I argue that the best reading of his account is the one that takes (...) normativity to be carried by a controlled, coherent, comprehensive set of norms. Finally, I present a potential obstacle to Gibbard’s approach: the regress problem. The idea is to examine the structure of the non-cognitive state expressed and find it inadequate due to the possibility of an infinite regress in the justification of the norms whose acceptance it contains. I then end the paper with some concluding remarks. (shrink)

Many philosophers reject the Language of Thought Hypothesis (LOT) on the grounds that is leads to an explanatory regress problem. According to this line of argument, LOT is invoked to explain certain features of natural language, but the language of thought has the very same features and consequently no explanatory progress has been made. In an earlier paper (“Regress Arguments against the Language of Thought”, Analysis 57.1), we argued that this regress argument doesn’t work and that (...) even proponents of LOT have given the regress argument too much credit. In this paper, we extend our critique of the regress argument against LOT by responding to J. Knowles’s commentary of our earlier paper (in “The Language of Thought and Natural Language Understanding”, Analysis 58.4). (shrink)

Learning mathematics through distance education can be challenging, with the “logical” and “rewarding” nature proving difficult to measure. This article aimed to articulate an argument explaining the “logical” and “rewarding” nature of online mathematics learning, elucidating their causal factors. Existing data from the literature that involving students at Visayas State University, Philippines, were utilized in this study. The study used statistical measures to capture descriptions from the data, and quantile regression analysis was employed to forecast the predictors of the logicality (...) and rewarding nature of learning mathematics at a distance. Results indicate that learning mathematics in the new normal is perceived as “logical” and moderately “rewarding”. The regression and correlation analyses revealed a significant positive association between the perceived “logical” nature and the rewarding experience of learning mathematics. The constructed statistical models depicted that the determinants of logicality in learning mathematics include family income, money spent on the internet, learning environment, household size, social status, and health. Moreover, causal factors such as family income, money spent on the internet, learning environment, leisure activities, social status, and health significantly determine the rewarding nature of learning mathematics online. Conclusively, institution must support college students with their online learning needs. Furthermore, mathematics instructors should create lively and exciting online discussions that boost their logical thinking. Providing problem-solving task that are intrinsically rewarding can contribute to a more fulfilling learning experience. (shrink)

In this paper, I distinguish between two possible versions of Amie Thomasson’s easy ontology project that differ in virtue of positing atomic or holistic application conditions, and evaluate the strengths of a holistic version over a non-holistic version. In particular, I argue that neither of the recently identified regress or circularity problems are troublesome for the supporter of easy ontology if they adopt a holistic account of application conditions. This is not intended to be a defence of easy ontology (...) from all possible objections, but rather to compare holistic and non-holistic versions of the view. This discussion is also significant in that it serves to highlight two distinct forms of easy ontology, which, I argue, need to be distinguished when assessing the merits of the easy approach in future work. (shrink)

F. H. Bradley’s relation regress poses a difficult problem for metaphysics of relations. In this paper, we reconstruct this regress argument systematically and make its presuppositions explicit in order to see where the possibility of its solution or resolution lies. We show that it cannot be answered by claiming that it is not vicious. Neither is one of the most promising resolutions, the relata-specific answer adequate in its present form. It attempts to explain adherence (relating), which is (...) a crucial component of the explanandum of Bradley’s relation regress, in terms of specific adherence of a relational trope to its relata. Nevertheless, since we do not know the consequences and constituents of a trope adhering to its specific relata, it remains unclear what specific adherence is. It is left as a constitutively inexplicable primitive. The relata-specific answer only asserts against Bradley. This negative conclusion highlights the need for a metaphysical account of the constitution of the holding of adherence. (shrink)

Rondo Keele makes a foray into what he calls 'applied logic', investigating a complex argument strategy employed against Ockham by his greatest contemporary opponent, Walter Chatton. Chatton conceives a two-part strategy which attempts to force a kind of iteration of conceptual analysis, together with an infinite explanatory regress, in order to establish that one particular philosophical analysis is ultimately dependent on another. Chatton uses this strategy against Ockham in order to show that the latter's reductionist metaphysics depends ultimately upon (...) a deeper level of realist assumptions that he can neither evade nor explain away. Keele then shows how, earlier in his career, Chatton found himself on the receiving end of this same strategy, defending his own highly original solution to the problem of future contingents from the very iteration-regress attack he would subsequently use on Ockham. Keele concludes with an examination of Chatton's attempts to avoid the consequences of his own strategy, and draws some connections between this argument strategy and modal collapse in modern logics. (shrink)

Bradley proposes a regress according to which, any theory that considers external objects as a unit composed of multiple components is flawed. Since most tropists consider the concrete object to be composed of coexisting tropes, Bradley's sregress embraces tropism as well. Maureen is of the opinion that Bradley's view about the existence of a relationship is incorrect and that a relationship is something that has an existential dependence on its surroundings, and based on this, he has resolved the problems (...) of Bradley's regress. However, based on an understanding of Allameh Tabataba'i's statements and analysis regarding the existence of a relationship, it is possible to criticize Maureen and consider the dependence between the relationship and its surroundings to be two-way. In addition, although Maurin's view solves the problem of Bradley's regress, it seems incompatible with the tropism. In this article, after a brief look at tropism, Bradley's regress is presented, and then this problem for tropism is explained. Next, Maureen's solution is proposed and after that, this solution is criticized and defended from the point of view of internal and mutual dependence between the relationship and its surroundings. (shrink)

In The Problems of Philosophy, Russell presented his famous regress argument against the nominalist denial of universals. In this paper I explore the origin of the argument in Russell and explore its relevance in contemporary metaphysical debate. I argue that a hundred years on, the argument still presents a powerful tool for realists in their debate with nominalists and trope theorists.

This study investigated problems of school management and secondary school students' academic performance in Calabar Education Zone of Cross River State. Two null hypotheses were formulated to guide the study. The study adopted an ex-post facto research design. Proportionate stratified sampling technique was employed in selecting a sample of 3616 students out of the population of 18, 078 students. "Problems of School Management Questionnaire (PSMQ)," and Senior Secondary Mathematics Achievement Test (SSMAT) were the instruments designed by the researcher, were used (...) for data collection. The data collected were analysed using descriptive statistics; while the null hypotheses were tested at .05 level of significance using population t-test and multiple regression analyses where applicable. Microsoft Excel 2016 spreadsheet program was used in the analysis of data. Findings from the study revealed among others that; secondary school students' academic performance in Calabar Education zone is significantly high, disciplinary control, classroom management, and teachers' motivation significantly influence secondary school students' academic performance respectively. Based on these results, conclusions were drawn and recommendations were made. (shrink)

Utilitarian (U.) theories must be capable of being applied in practical reasoning, or they would have no value as a guide to rational conduct. However, I show that epistemic extensions to U. theories produce logical confusion. Basic questions about what one needs to know in order to apply a U. analysis embroil one in an infinite regress. And attempts to incrementally apply U. either are no help at all (leaving one entirely 'in the dark'), or in general constitute arbitrary (...) gambles which no practical reasoner could defend taking. These problems are serious enough to completely discredit U. theories as having any relevance to practical reasoning. (shrink)

In _Leviathan_, Hobbes embraces three seemingly inconsistent claims: (i) the unity of a multitude is secured only by the unity of its representer, (ii) assemblies can represent other multitudes, and (iii) assemblies are, or are constituted by, multitudes. Together these claims require that a representative assembly, itself, be represented. If that representer is another assembly, it too will need a unifying representer, and so on. To stop a regress, we will need an already unified representer. But a multitude can (...) only speak or act through its representer, and an assembly is a multitude, so any representing done by the assembly is actually done by this already unified, regress-stopping representer. That is, if (i) and (iii) are true, (ii) cannot be. I will argue that this inconsistency is only apparent and that we can resolve it without rejecting any of these three claims. We do this by appealing to a representer-as-decision-procedure meeting certain criteria. Such a procedural representer breaks the transitivity of representation such that the assembly it represents can properly represent some further multitude. I proceed in my defense of the procedural representer view by addressing a series of problems it faces, the solutions to which give us a progressively clearer picture of the criteria this representer must meet. (shrink)

We can distinguish between ambitious metanormative constructivism and a variety of other constructivist projects in ethics and metaethics. Ambitious metanormative constructivism is the project of either developing a type of new metanormative theory, worthy of the label “constructivism”, that is distinct from the existing types of metaethical, or metanormative, theories already on the table—various realisms, non-cognitivisms, error-theories and so on—or showing that the questions that lead to these existing types of theories are somehow fundamentally confused. Natural ways of pursuing the (...) project of ambitious metanormative constructivism lead to certain obvious, and related, worries about whether the ambitions are really being achieved—that is whether we really are being given a distinctive theory. I will argue that responding to these initial worries pushes ambitious metanormative constructivism towards adopting a kind of position that I will call “constructivism all the way down”. Such a position does see off most of the above initial worries. Drawing on the work of Ralph Walker and Crispin Wright, I argue, however, that it faces a distinct objection that is a descendent of Bertrand Russell’s Bishop Stubbs objection against coherentist theories of truth. I grant that the constructivist need not be a coherentist about truth. I argue, however, that despite this the constructivist cannot escape my version of the objection. I also distinguish between this objection and various traditional charges of circularity, regress, relativism, or psychologistic reductionism. (shrink)

Moral progress and some of the conditions under which groups can make it is the focus of this paper. More specifically, I address a problem arising from the use of pluralistic criteria for determining moral progress. Pluralistic criteria can allow for judgments that moral progress has taken place where there is causally related moral regression. Indeed, an otherwise well-argued pluralistic theory put forward by Michelle Moody-Adams allows for such conflicting judgments. I argue, however, that the way in which Moody-Adams (...) handles these conflicts can be made less counterintuitive. Ultimately, I limit the types of moral progress that arise in instances of value conflict. To demonstrate the attractiveness of my revision, I apply it to the content of a symposium on moral progress built around a John Lachs essay. (shrink)

Jacques Maritain asserted that Aquinas’s explanation of sin’s origin is “one of the most original of his philosophical discoveries.” In this explanation, Aquinas traces the origin of sin back to the will’s defect of failing to consider or use the rule of divine law. To succeed, Aquinas must show how this defect is both voluntarily caused by the agent and non-culpable despite its serving as the origin for sin. (If it were culpable, a non-explanatory regress would ensue.) Aquinas’s “original” (...) solution hinges on his claim that the will is not always morally obligated to consider or use the rule. When Aquinas’s texts are closely examined, it becomes apparent that his explanation admits of two different interpretations. In this paper, both interpretations are scrutinized and found to be problematic. Despite its originality and courage in addressing what many consider inexplicable (namely, sin), Aquinas’s attempt seems not to be a successful discovery. (shrink)

Mindset plays a vital role in tackling the barriers to improving the preservice mathematics teachers’ (PMTs) conceptual understanding of problem-solving. As the COVID-19 pandemic has continued to pose a challenge, online learning has been adopted. This led this study to determining the PMTs’ mindset and level of conceptual understanding in problem-solving in an online learning environment utilising Google Classroom and the Khan Academy. A quantitative research design was employed specifically utilising a descriptive, comparative, and correlational design. Forty-five PMTs (...) were chosen through simple random sampling and willingly took part in this study. The data was gathered using validated and reliable questionnaires and problem-solving tests. The data gathered was analysed using descriptive statistics, analysis of variance, and simple linear regression. The results revealed that the college admission test, specifically numerical proficiency, influences a strong mindset and a higher level of conceptual understanding in problem-solving. Additionally, this study shows that mindset predicts the levels of conceptual understanding in problem-solving in an online environment where PMTs with a growth mindset have the potential to solve math problems. The use of Google Classroom and the Khan Academy to aid online instruction is useful in the preparation of PMTs as future mathematics teachers and problem-solvers. Further studies may be conducted to validate these reports and to address the limitations of this study. (shrink)

The main aim of the study was to determine the levels of Adversity Quotient and problem solving skills in Mathematics of BISU - MC students taking BSEdMathematics in the school year 2021-2022. It sought to find if there was a significant difference in the respondents’ levels of AQ and problem solving skills in Mathematics across their age, gender and year level as well as their level of AQ as a significant predictor of their level of problem solving (...) skills in Mathematics. It also aimed to develop a plan of action that would be proposed to improve these two aspects of their being. The total number of actual respondents was 163. Purposive sampling was used. The study utilized the quantitative type of study. It made use of the descriptive design to describe the characteristics of the population being studied and the regression design to infer the relationship between the independent variable and dependent variable. The Online AQ Profile was used for determining the respondents’ level of AQ and a 10-item test was used for determining their level of problem solving skills in Mathematics. Both inquired their profile. The data provided by the respondents were collected and subjected to statistical treatment through IBM SPSS Statistics Trial software. Data revealed that the age of the respondents ranged from 18 to 22 years old. Females numerically dominated the analyzed field. Majority of the respondents were from the first and fourth year levels. Their AQ was below average while their problem solving skills in Mathematics was satisfactory. The age, gender and year level of students did not matter in identifying their level of AQ. On the other hand, the older students had a higher level of problem solving skills in Mathematics than the younger ones and the students in the higher year level had a higher level of problem solving skills in Mathematics than those in the lower year level. Finally, their level of AQ gave a positive influence on their level of problem solving skills in Mathematics. The education system should be aligned with the profile of the students. The teachers would let the students read the book of Paul G. Stoltz, PhD titled “Adversity Quotient: Turning Obstacles into Opportunities”. The students would also reflect on the word of God. Also, the teachers would let the students study the book by George Polya titled “How To Solve It”. The students would also continue to solve various routine problems. Regardless of age, gender and year level, the family and friends of the students should encourage them in every way they can for their better future as they overcome their adversities. Mathematics curriculum makers and teachers work together to improvise teaching and learning Mathematics specifically problem solving for the younger students and those in the lower year level. Future researchers could replicate the study to further verify the results. Research could focus specifically on the CORE dimensions of AQ predicting the level of problem solving skills in Mathematics. (shrink)

This essay focuses on the intriguing relationship between mathematics and physical phenomena, arguing that the brain uses a single spatiotemporal- causal objective framework in order to characterize and manipulate basic external data and internal physical and emotional reactive information, into more complex thought and knowledge. It is proposed that multiple hierarchical permutations of this single format eventually give rise to increasingly precise visceral meaning. The main thesis overcomes the epistemological complexities of the Frame Problem by asserting that the primal (...) frame of reference – within which chaotic conscious thought ultimately emerges – is essentially a synchronous representation of the four macro properties of existence plus the genetically derived causal objective, and the embodied physical and emotional reactions that even the lowliest cognitive organisms are born with, and which they automatically express as they struggle to exist within an ever-changing and often hostile environment. -/-. (shrink)

Today’s societies place challenging demands on individuals, who are confronted with complexity in many aspects of their lives. Individuals need to acquire a wide range of competencies in order to overcome the complex challenges of today’s world. Using real-world problems is important not only to hone students’ mathematical thinking and competency but also to prepare them in making well-grounded decisions that involve logical and mathematical reasoning. Thus, this study explored the competence of the students in applying mathematics in real world (...) problems and determined the predictors using the selected profile variables. Regression analysis was used to identify if there are predictors that determine the results of the assessment. The main tool of the study was the Programme for International Student Assessment (PISA) test in mathematics. Findings revealed that the predictors include confidence level, repeated kinder, mother work status and highest level of education to complete. This study could be a guide for determining the strengths and weaknesses of students in applying mathematics in the real world as framework in helping them handle the rigors of connecting math with their lives. (shrink)

The host of the growth of knowledge hallmarks, concocted by various philosophy of science models , is contemplated. It is enunciated that the most appropriate one is provided by methodology of scientific research programmes. Some salient drawbacks of the model, caused by the ambivalence of its basic notions, e.g. of the notions of ‘empirical content of a theory’, ‘progressive’ and ‘regressive’ ‘problemshifts’ can be mitigated by enriching the Lakatosian model with Nancy Cartwright’s results. To recapitulate: the genuine growth of knowledge (...) consists in the growth of causal explanations . -/- . (shrink)

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.

While C. I. Lewis was traditionally interpreted as an epistemological foundationalist throughout his major works, virtually every recent treatment of Lewis's epistemology dissents. But the traditional interpretation is correct: Lewis believed that apprehensions of "the given" are certain independently of support from, and constitute the ultimate warrant for, objective empirical beliefs. This interpretation proves surprisingly capable of accommodating apparently contrary textual evidence. The non-foundationalist reading, by contrast, simply cannot explain Lewis's explicit opposition to coherentism and his insistence that only apprehensions (...) of the given enable us to answer the regress problem -- and so vindicate the possibility of empirical justification. (shrink)

In this paper, I will argue for a complex of three theses. First, that the problem of deep disagreement is an instance of the regress problem of justification. Second, that the problem of deep disagreement, as a regress problem, depends on a dialecticality requirement for arguments. Third, that the dialecticality requirement is plausible and defensible.

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)

In this paprer a class of so called mathematically acceptable (shortly MA) languages is introduced First-order formal languages containing natural numbers and numerals belong to that class. MA languages which are contained in a given fully interpreted MA language augmented by a monadic predicate are constructed. A mathematical theory of truth (shortly MTT) is formulated for some of these languages. MTT makes them fully interpreted MA languages which posses their own truth predicates, yielding consequences to philosophy of mathematics. MTT is (...) shown to conform well with the eight norms presented for theories of truth in the paper 'What Theories of Truth Should be Like (but Cannot be)' by Hannes Leitgeb. MTT is also free from infinite regress, providing a proper framework to study the regress problem. (shrink)

Resumo: Neste artigo, apresentamos uma versão de uma teoria que eu chamarei de Contextualismo Epistêmico ‒ a visão de que o contexto e os padrões determinados por ele desempenham um papel central na avaliação de se um agente epistêmico tem, ou não, justificação e, portanto, conhecimento ‒ para tentar resolver um dos problemas mais influentes em epistemologia, a saber, o Problema do Regresso epistêmico. O primeiro passo será o de caracterizar o problema do regresso epistêmico. Em seguida, apresentaremos uma importante (...) distinção que é útil para um melhor entendimento da nossa tese, isto é, a distinção entre justificação proposicional e doxástica. Então, abordaremos as visões tradicionais que supostamente alegam resolver este problema, mostrando que todas são problemáticas. Por fim, apresentaremos a visão que pretendemos defender, mostrando como ela pode oferecer uma resposta ao problema do regresso epistêmico, de uma maneira que as outras visões não podem. Palavras-chave: Regresso Epistêmico, Justificação, Conhecimento, Contextualismo Epistêmico. Abstract: In this paper we present a version of a theory that we will call Epistemic Contextualism - the view that the context and the standards that it determines, play a central role in evaluating whether, or not, a subject has justification, and therefore knowledge - to try to solve one of the most influential problems in epistemology, namely, the Epistemic Regress Problem. The first step will be to characterize the epistemic regress problem. Next, we present an important distinction that is useful to a better understanding of our view, that is, the distinction between propositional and doxastic justification. Then, we present traditional views that allegedly claim to solve this problem showing that all are problematic. The final step concerns the exposition of the view we want to defend, showing how it can solve the epistemic regress problem in a way that the other views cannot. Keywords: Epistemic Regress, Justification, Knowledge, Epistemic Contextualism. (shrink)

Ockham holds what nowadays would be characterized as a “higher-order perception” theory of consciousness. Among the most common objections to such a theory is the charge that it gives rise to an infinite regress in higher-order states. In this paper, I examine Ockham’s various responses to the regress problem, focusing in particular on his attempts to restrict the scope of consciousness so as to avoid it. In his earlier writings, Ockham holds that we are conscious only of (...) those states to which we explicitly attend. This view, I go on to argue, is inadequate on both phenomenological and philosophical grounds. Interestingly, and perhaps for this very reason, in later works, Ockham goes on to develop an alternative explanation for his account of the limited scope of consciousness. (shrink)