8. Final Project Synthesis
Historical Materialist Hook
[RESEARCH REQUIRED: Utilize Evald Ilyenkov’s Dialectical Logic and A.N. Kolmogorov’s work to supply the Soviet materialist critique of static classical truth, demonstrating how intuitionism was pragmatically reframed as a labor-centric logic of problems.]
Core Technical Synthesis
[RESEARCH REQUIRED: Introduce the Formalization Portfolio. Students must translate historically significant philosophical or mathematical arguments into first-order syntax and execute a flawless, computer-verified proof inside the Carnap framework to demonstrate objective validity.]
Guided Example: The Formalization Portfolio
The Goal: Select a classic argument (e.g., Anselm’s Ontological Argument, or a fragment of Euclid’s Elements). Step 1: Translate the natural language premises into strict First-Order Logic. Step 2: Construct a full Fitch-style derivation in Carnap to prove the conclusion follows from the premises. Step 3: Document any semantic ambiguities you encountered during translation.
Problem Set
Final Project: Formalization Portfolio
Select your text, translate it, and provide the Carnap-verified proof below.
Dictionary Reference Map
- For final review of first-order syntax: forall x Calgary (Magnus et al. 2025)