Combining Texts

All the ideas for 'works', 'Philosophical Remarks' and 'Investigations into Logical Deduction'

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5 ideas

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

13832

Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]

9. Objects / A. Existence of Objects / 3. Objects in Thought

22320

An 'object' is just what can be referred to without possible non-existence [Wittgenstein]

19. Language / A. Nature of Meaning / 2. Meaning as Mental

18283

Language pictures the essence of the world [Wittgenstein]

19. Language / A. Nature of Meaning / 5. Meaning as Verification

18282

You can't believe it if you can't imagine a verification for it [Wittgenstein]