Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'Gentzen's Analysis of First-Order Proofs' and 'Reply to First Objections'

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7 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes

8920	Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

13831

Logic is based on transitions between sentences [Prawitz]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

13825

Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]

5. Theory of Logic / H. Proof Systems / 4. Natural Deduction

13823

In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]

15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind

16634

I can't be unaware of anything which is in me [Descartes]

23. Ethics / F. Existentialism / 5. Existence-Essence

3635	Essence must be known before we discuss existence [Descartes]

28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof

3634	We can't prove a first cause from our inability to grasp infinity [Descartes]