Combining Philosophers

All the ideas for Pherecydes, Michael Hallett and Curt Ducasse

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14 ideas

2. Reason / D. Definition / 2. Aims of Definition
A correct definition is what can be substituted without loss of meaning [Ducasse]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
Pherecydes said the first principle and element is earth [Pherecydes, by Sext.Empiricus]
26. Natural Theory / C. Causation / 2. Types of cause
Causation is defined in terms of a single sequence, and constant conjunction is no part of it [Ducasse]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
We see what is in common between causes to assign names to them, not to perceive them [Ducasse]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
Causes are either sufficient, or necessary, or necessitated, or contingent upon [Ducasse]
When a brick and a canary-song hit a window, we ignore the canary if we are interested in the breakage [Ducasse]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
A cause is a change which occurs close to the effect and just before it [Ducasse]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Recurrence is only relevant to the meaning of law, not to the meaning of cause [Ducasse]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
We are interested in generalising about causes and effects purely for practical purposes [Ducasse]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Pherecydes was the first to say that the soul is eternal [Pherecydes, by Cicero]