Combining Texts

All the ideas for 'Perceptual experience has conceptual content', 'An Introduction to Modal Logic' and 'Towards a Universal Characteristic'

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8 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / b. Terminology of PL

9540	A 'value-assignment' (V) is when to each variable in the set V assigns either the value 1 or the value 0 [Hughes/Cresswell]

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL

9541	The Law of Transposition says (P→Q) → (¬Q→¬P) [Hughes/Cresswell]

4. Formal Logic / B. Propositional Logic PL / 4. Soundness of PL

9543	The rules preserve validity from the axioms, so no thesis negates any other thesis [Hughes/Cresswell]

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic

19370

'Blind thought' is reasoning without recognition of the ingredients of the reasoning [Leibniz, by Arthur,R]

5. Theory of Logic / K. Features of Logics / 4. Completeness

9544	A system is 'weakly' complete if all wffs are derivable, and 'strongly' if theses are maximised [Hughes/Cresswell]

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

19391

We can assign a characteristic number to every single object [Leibniz]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

19390

Everything is subsumed under number, which is a metaphysical statics of the universe, revealing powers [Leibniz]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations

8875	Sense experiences must have conceptual content, since they are possible reasons for judgements [Brewer,B]