Combining Philosophers

All the ideas for Hermarchus, Achille Varzi and Rod Girle

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27 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
7798 There are three axiom schemas for propositional logic [Girle]
7786 Propositional logic handles negation, disjunction, conjunction; predicate logic adds quantifiers, predicates, relations [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / a. Symbols of PL
7799 Proposition logic has definitions for its three operators: or, and, and identical [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
7797 Axiom systems of logic contain axioms, inference rules, and definitions of proof and theorems [Girle]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
7794 There are seven modalities in S4, each with its negation [Girle]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
7793 ◊p → □◊p is the hallmark of S5 [Girle]
7795 S5 has just six modalities, and all strings can be reduced to those [Girle]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
7787 Possible worlds logics use true-in-a-world rather than true [Girle]
7796 Modal logics were studied in terms of axioms, but now possible worlds semantics is added [Girle]
7788 Modal logic has four basic modal negation equivalences [Girle]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10653 Maybe set theory need not be well-founded [Varzi]
4. Formal Logic / G. Formal Mereology / 1. Mereology
10648 Mereology need not be nominalist, though it is often taken to be so [Varzi]
10655 Are there mereological atoms, and are all objects made of them? [Varzi]
10659 There is something of which everything is part, but no null-thing which is part of everything [Varzi]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
7789 Necessary implication is called 'strict implication'; if successful, it is called 'entailment' [Girle]
5. Theory of Logic / H. Proof Systems / 5. Tableau Proof
7790 If an argument is invalid, a truth tree will indicate a counter-example [Girle]
9. Objects / C. Structure of Objects / 5. Composition of an Object
10661 'Composition is identity' says multitudes are the reality, loosely composing single things [Varzi]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
10654 The parthood relation will help to define at least seven basic predicates [Varzi]
10651 If 'part' is reflexive, then identity is a limit case of parthood [Varzi]
10649 'Part' stands for a reflexive, antisymmetric and transitive relation [Varzi]
10647 Parts may or may not be attached, demarcated, arbitrary, material, extended, spatial or temporal [Varzi]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
10658 Sameness of parts won't guarantee identity if their arrangement matters [Varzi]
10. Modality / A. Necessity / 3. Types of Necessity
7800 Analytic truths are divided into logically and conceptually necessary [Girle]
10. Modality / B. Possibility / 1. Possibility
7801 Possibilities can be logical, theoretical, physical, economic or human [Girle]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
10652 Conceivability may indicate possibility, but literary fantasy does not [Varzi]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
7792 A world has 'access' to a world it generates, which is important in possible worlds semantics [Girle]
25. Social Practice / F. Life Issues / 6. Animal Rights
6005 Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]