Combining Texts

All the ideas for 'fragments/reports', 'Nature and Observability of Causal Relations' and 'Mathematics without Foundations'

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17 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 / 3. Types of Set / d. Infinite Sets
We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Science requires more than consistency of mathematics [Putnam]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
7. Existence / D. Theories of Reality / 4. Anti-realism
You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
19. Language / F. Communication / 1. Rhetoric
Destroy seriousness with laughter, and laughter with seriousness [Gorgias]
Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
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]