Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, George Boole and Vassilis Politis

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9 ideas

2. Reason / D. Definition / 1. Definitions
The Pythagoreans were the first to offer definitions [Politis, by Politis]
3. Truth / A. Truth Problems / 4. Uses of Truth
'True of' is applicable to things, while 'true' is applicable to words [Politis]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]
Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
Maybe 'What is being? is confusing because we can't ask what non-being is like [Politis]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Necessary truths can be two-way relational, where essential truths are one-way or intrinsic [Politis]