Combining Texts

All the ideas for 'Conditionals', 'Preface to 'De Revolutionibus'' and 'Hat-Tricks and Heaps'

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6 ideas

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
The smallest heap has four objects: three on the bottom, one on the top [Hart,WD, by Sorensen]
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
Validity can preserve certainty in mathematics, but conditionals about contingents are another matter [Edgington]
10. Modality / B. Possibility / 8. Conditionals / b. Types of conditional
There are many different conditional mental states, and different conditional speech acts [Edgington]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Are conditionals truth-functional - do the truth values of A and B determine the truth value of 'If A, B'? [Edgington]
'If A,B' must entail ¬(A & ¬B); otherwise we could have A true, B false, and If A,B true, invalidating modus ponens [Edgington]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Facts should be deducible from the theory and initial conditions, and prefer the simpler theory [Osiander, by Harré/Madden]