Fichte’s Foundations of the Entire Wissenschaftslehre 1794 is one of the most fundamental books in classical German philosophy. The use of laws of thought to establish foundational principles of transcendental philosophy was groundbreaking in the late eighteenth and early nineteenth century and is still crucial for many areas of theoretical philosophy and logic in general today. Nevertheless, contemporaries have already noted that Fichte’s derivation of foundational principles from the law of identity is problematic, since Fichte lacked the tools to correctly (...) present the formal parts of Foundations. In this paper, however, we argue that Fichte’s approach intuitively offers an important contribution to transcendental philosophy, and especially to philosophy of logic. We first point out the difficulties of Fichte’s logic in the Foundations and improve it in a second part on the basis of a formal system in which both propositional logic and syllogistic are combined. (shrink)

Hilary Putnam once suggested that “the actual existence of sets as ‘intangible objects’ suffers… from a generalization of a problem first pointed out by Paul Benacerraf… are sets a kind of function or are functions a sort of set?” Sadly, he did not elaborate; my aim, here, is to do so on his behalf. There are well-known methods for treating sets as functions and functions as sets. But these do not raise any obvious philosophical or foundational puzzles. For that, we (...) first need to provide a full-fledged function theory. I supply such a theory: it axiomatizes the iterative notion of function in exactly the same sense that ZF axiomatizes the iterative notion of set. Indeed, this function theory is synonymous with ZF. It might seem that set theory and function theory present us with rival foundations for mathematics, since they postulate different ontologies. But appearances are deceptive. Set theory and function theory provide the very same judicial foundation for mathematics. They do not supply rival metaphysical foundations; indeed, if they supply metaphysical foundations at all, then they supply the very same metaphysical foundations. (shrink)

I argue that Émilie Du Châtelet breaks with Christian Wolff regarding the scope and epistemological content of the principle of sufficient reason, despite his influence on her basic ontology and their agreement that the principle of sufficient reason has foundational importance. These differences have decisive consequences for the ways in which Du Châtelet and Wolff conceive of science.

Shamik Dasgupta (2016) proposes to tame the Principle of Sufficient Reason (PSR) to apply to only non-autonomous facts, which are facts that are apt for explanation. Call this strategy to tame the PSR the taming strategy. In a recent paper, Della Rocca (2020a) argues that proponents of the taming strategy, in attempting to formulate a restricted version of the PSR, nevertheless find themselves committed to endorsing a form of radical monism, which, in turn, leads right back to an untamed-PSR. Suppose, (...) for the sake of argument, that Della Rocca is right. My question is this: Is there reason to believe the principle of sufficient reason (in its untamed version)? In this paper, I argue that it is impossible for there to be a reason to believe the untamed-PSR. (shrink)

It is often assumed that the first stage of many classical arguments for theism depends upon some version of the Principle of Sufficient Reason being true. Unfortunately for classical theists, PSR is a controversial thesis that has come under rather severe criticism in the contemporary literature. In this article, I grant for the sake of argument that every version of PSR is false. Thus, I concede with the critics of PSR, that it is possible that there is, at least, one (...) fact that is ontologically brute. I then proffer an epistemological challenge to ontological bruteness. Specifically, I argue that whenever a knowledge seeker, S, perceives some unexplained fact, F, it is never reasonable for S to believe F is ontologically brute. I conclude that, even if PSR is false, it is more reasonable to believe that the key premise in the first stage of classical arguments for theism is true. (shrink)

General discussion of grounding, including its formal features, relations to other notions, and applications. (Originally published 2014; revised 2021).