Combining Texts

All the ideas for 'Conditionals', 'Introduction to 'Causation'' and 'Believing the Axioms I'

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21 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
13011 New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13014 Extensional sets are clearer, simpler, unique and expressive [Maddy]
13013 The Axiom of Extensionality seems to be analytic [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13021 The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
13022 Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13023 The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13024 Efforts to prove the Axiom of Choice have failed [Maddy]
13025 Modern views say the Choice set exists, even if it can't be constructed [Maddy]
13026 A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
13019 The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13018 Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
13768 Validity can preserve certainty in mathematics, but conditionals about contingents are another matter [Edgington]
10. Modality / B. Possibility / 8. Conditionals / b. Types of conditional
13770 There are many different conditional mental states, and different conditional speech acts [Edgington]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
13764 Are conditionals truth-functional - do the truth values of A and B determine the truth value of 'If A, B'? [Edgington]
13765 'If A,B' must entail ¬(A & ¬B); otherwise we could have A true, B false, and If A,B true, invalidating modus ponens [Edgington]
15. Nature of Minds / C. Capacities of Minds / 9. Perceiving Causation
8329 Either causal relations are given in experience, or they are unobserved and theoretical [Sosa/Tooley]
26. Natural Theory / C. Causation / 1. Causation
8324 The problem is to explain how causal laws and relations connect, and how they link to the world [Sosa/Tooley]
26. Natural Theory / C. Causation / 4. Naturalised causation
8328 Causation isn't energy transfer, because an electron is caused by previous temporal parts [Sosa/Tooley]
8327 If direction of causation is just direction of energy transfer, that seems to involve causation [Sosa/Tooley]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
8330 Are causes sufficient for the event, or necessary, or both? [Sosa/Tooley]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
8325 The dominant view is that causal laws are prior; a minority say causes can be explained singly [Sosa/Tooley]