Combining Texts

All the ideas for 'works', 'Mathematics: Form and Function' and 'Logic and Epistemology of Causal Relations'

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14 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
In everyday language, truth seems indefinable, inconsistent, and illogical [Tarski]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Tarski thought axiomatic truth was too contingent, and in danger of inconsistencies [Tarski, by Davidson]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC could contain a contradiction, and it can never prove its own consistency [MacLane]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
There is no clear boundary between the logical and the non-logical [Tarski]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is when in any model in which the premises are true, the conclusion is true [Tarski, by Beall/Restall]
Logical consequence: true premises give true conclusions under all interpretations [Tarski, by Hodges,W]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Tarski improved Hilbert's geometry axioms, and without set-theory [Tarski, by Feferman/Feferman]
10. Modality / B. Possibility / 1. Possibility
What is true used to be possible, but it may no longer be so [Wright,GHv]
26. Natural Theory / C. Causation / 5. Direction of causation
p is a cause and q an effect (not vice versa) if manipulations of p change q [Wright,GHv]
We can imagine controlling floods by controlling rain, but not vice versa [Wright,GHv]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
The very notion of a cause depends on agency and action [Wright,GHv]
We give regularities a causal character by subjecting them to experiment [Wright,GHv]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
We must further analyse conditions for causation, into quantifiers or modal concepts [Wright,GHv]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Some laws are causal (Ohm's Law), but others are conceptual principles (conservation of energy) [Wright,GHv]