Combining Texts

All the ideas for 'General Draft', 'Gentzen's Analysis of First-Order Proofs' and 'Substitutional Classes and Relations'

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9 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly

22026

Philosophy is homesickness - the urge to be at home everywhere [Novalis]

2. Reason / D. Definition / 7. Contextual Definition

21560

Any linguistic expression may lack meaning when taken out of context [Russell]

2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes

21561

'The number one is bald' or 'the number one is fond of cream cheese' are meaningless [Russell]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

18130

Axiom of Reducibility: there is always a function of the lowest possible order in a given level [Russell, by Bostock]

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]

8. Modes of Existence / A. Relations / 1. Nature of Relations

21562

There is no complexity without relations, so no propositions, and no truth [Russell]

15. Nature of Minds / C. Capacities of Minds / 6. Idealisation

19591

Desire for perfection is an illness, if it turns against what is imperfect [Novalis]