Combining Texts

All the ideas for 'Thinking About Mechanisms', 'Modal Logics and Philosophy' and 'Commentary on Euclid's 'Elements''

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30 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]
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]
7. Existence / B. Change in Existence / 2. Processes
16554 Activities have place, rate, duration, entities, properties, modes, direction, polarity, energy and range [Machamer/Darden/Craver]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
16556 Penicillin causes nothing; the cause is what penicillin does [Machamer/Darden/Craver]
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 / 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]
11. Knowledge Aims / A. Knowledge / 2. Understanding
16562 We understand something by presenting its low-level entities and activities [Machamer/Darden/Craver]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
16563 The explanation is not the regularity, but the activity sustaining it [Machamer/Darden/Craver]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
13165 Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
16555 Functions are not properties of objects, they are activities contributing to mechanisms [Machamer/Darden/Craver]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
16529 Mechanisms are systems organised to produce regular change [Machamer/Darden/Craver]
16530 A mechanism explains a phenomenon by showing how it was produced [Machamer/Darden/Craver]
16553 Our account of mechanism combines both entities and activities [Machamer/Darden/Craver]
16559 Descriptions of explanatory mechanisms have a bottom level, where going further is irrelevant [Machamer/Darden/Craver]
16528 Mechanisms are not just push-pull systems [Machamer/Darden/Craver]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
16564 There are four types of bottom-level activities which will explain phenomena [Machamer/Darden/Craver]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
16561 We can abstract by taking an exemplary case and ignoring the detail [Machamer/Darden/Craver]
18. Thought / E. Abstraction / 1. Abstract Thought
9569 The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
16558 Laws of nature have very little application in biology [Machamer/Darden/Craver]