Combining Philosophers

All the ideas for Douglas Lackey, Rod Girle and Thomas M. Crisp

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24 ideas

3. Truth / B. Truthmakers / 5. What Makes Truths / d. Being makes truths
The weaker version of Truthmaker: 'truth supervenes on being' [Crisp,TM]
3. Truth / B. Truthmakers / 9. Making Past Truths
The Truthmaker thesis spells trouble for presentists [Crisp,TM]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Truthmaker has problems with generalisation, non-existence claims, and property instantiations [Crisp,TM]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Propositional logic handles negation, disjunction, conjunction; predicate logic adds quantifiers, predicates, relations [Girle]
There are three axiom schemas for propositional logic [Girle]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / a. Symbols of PL
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
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
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
◊p → □◊p is the hallmark of S5 [Girle]
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
Possible worlds logics use true-in-a-world rather than true [Girle]
Modal logic has four basic modal negation equivalences [Girle]
Modal logics were studied in terms of axioms, but now possible worlds semantics is added [Girle]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
Necessary implication is called 'strict implication'; if successful, it is called 'entailment' [Girle]
5. Theory of Logic / H. Proof Systems / 5. Tableau Proof
If an argument is invalid, a truth tree will indicate a counter-example [Girle]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
Worm Perdurantism has a fusion of all the parts; Stage Perdurantism has one part at a time [Crisp,TM]
10. Modality / A. Necessity / 3. Types of Necessity
Analytic truths are divided into logically and conceptually necessary [Girle]
10. Modality / B. Possibility / 1. Possibility
Possibilities can be logical, theoretical, physical, economic or human [Girle]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A world has 'access' to a world it generates, which is important in possible worlds semantics [Girle]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
'Eternalism' is the thesis that reality includes past, present and future entities [Crisp,TM]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
Presentists can talk of 'times', with no more commitment than modalists have to possible worlds [Crisp,TM]
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
The only three theories are Presentism, Dynamic (A-series) Eternalism and Static (B-series) Eternalism [Crisp,TM]