Combining Texts

All the ideas for 'Conditionals', 'Neutral Relations' and 'The Logical Syntax of Language'

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11 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Carnap defined consequence by contradiction, but this is unintuitive and changes with substitution [Tarski on Carnap]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
Each person is free to build their own logic, just by specifying a syntax [Carnap]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Language imposes a direction on a road which is not really part of the road [Fine,K]
The 'standard' view of relations is that they hold of several objects in a given order [Fine,K]
The 'positionalist' view of relations says the number of places is fixed, but not the order [Fine,K]
A block on top of another contains one relation, not both 'on top of' and 'beneath' [Fine,K]
Explain biased relations as orderings of the unbiased, or the unbiased as permutation classes of the biased? [Fine,K]
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]