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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.
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.
The criticism of Immanuel Kant’s logic commenced with the advent of the so-called ‘new logic’ in the 20th century. One particular passage from the second preface to the Critique of Pure Reason has been a source of contention, where Kant asserted that logic has not taken a step forward or backward since Aristotle (B VIII). In Kant scholarship, one current strategy to avoid this criticism is to relocate Kant within the domain of philosophy of logic or by segregating his general logic from modern formal systems. In this paper, it will be contended that this strategy is too weak, given that the B-preface has currently been analyzed in a markedly divergent manner by the so-called ‘methodological interpretation’. In his methodology and history of science of the B-preface, Kant means something different by progress and regression than what his 20th-century critics assume he meant. By examining what Kant and his critics considered to be progress and regress in science and logic, good reasons can be put forward for the argument that Kant was correct in his assertion that logic has not gone a step forward or backward.
Modern formal logic, which is based on Kant’s logical project, interprets logical consequence as formal, which leads to substantive paradoxes that combine any thoughts at all and so to the loss of consequence as such. Beginning with A. Tarski, modern history of logic brings the problem of logical consequence into the realmof search for the relation of consequence, or grounding. In his doctoral dissertation on the nature of logical formality J. MacFarlane claims that the paradoxes of formal theories of logical consequence stem from the loss of grounding by the transcendental system of logic in the postKantian logical tradition. Arguably, analysis of logical terminology of consequence in Kant’s seminal works — Critique of Pure Reason, Critique of the Power of Judgment — in comparison with the terminology of earlier works, Prolegomena and lectures on logic attributed to him will clarify the question of the relation oflogical consequence in the formal and nonformal sense. The key concept of consequence in Kant’s terminology is Folgerung, which denotes ‘following’ in logical and nonlogical contexts. I have also analysed related concepts: Folge, Abfolge, folglich etc., established dif- ferences between logical terms with similar meaning ‘inference’ (Schluss) and ‘conclusion’ (Konklusion). Finally, I make an attempt to formulate the problem of logical consequence in formal logic through the logical terms Schlussfolge, Folgerung and Konsequenz. On the strength of my analysis I propose to consider Kant’s consequence (Folgerung) to be a concept of transcendental logic that reflects the relation of consequence and grounds formal consequence.
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