Combining Texts

All the ideas for 'The philosophical basis of intuitionist logic', 'The Laws of Thought' and 'Letter to Clerk Maxwell'

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10 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic

8083	Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]

7727	Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner]

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic

18073

Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher]

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

8686	Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]

5. Theory of Logic / G. Quantification / 1. Quantification

19057

Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett]

5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof

22277

Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]

19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions

19055

Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett]

19056

If a sentence is effectively undecidable, we can never know its truth conditions [Dummett]

19. Language / A. Nature of Meaning / 6. Meaning as Use

19054

Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett]

27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces

15313

By 'force' I mean the sources of all actions - sometimes called 'powers' by their outcomes [Breheny]