Combining Texts

All the ideas for 'A Defense of Presentism', 'Logic in Mathematics' and 'Counterfactual Dependence and Time's Arrow'

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34 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
People who use science to make philosophical points don't realise how philosophical science is [Markosian]
2. Reason / D. Definition / 3. Types of Definition
A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege]
2. Reason / D. Definition / 10. Stipulative Definition
Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta]
2. Reason / E. Argument / 6. Conclusive Proof
We must be clear about every premise and every law used in a proof [Frege]
3. Truth / B. Truthmakers / 9. Making Past Truths
Presentism has the problem that if Socrates ceases to exist, so do propositions about him [Markosian]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic not only proves things, but also reveals logical relations between them [Frege]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
'Theorems' are both proved, and used in proofs [Frege]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
A truth can be an axiom in one system and not in another [Frege]
Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
To create order in mathematics we need a full system, guided by patterns of inference [Frege]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
If principles are provable, they are theorems; if not, they are axioms [Frege]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Possible worlds must be abstract, because two qualitatively identical worlds are just one world [Markosian]
18. Thought / B. Mechanics of Thought / 5. Mental Files
We need definitions to cram retrievable sense into a signed receptacle [Frege]
We use signs to mark receptacles for complex senses [Frege]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
'Grabby' truth conditions first select their object, unlike 'searchy' truth conditions [Markosian]
19. Language / A. Nature of Meaning / 6. Meaning as Use
A sign won't gain sense just from being used in sentences with familiar components [Frege]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege]
A thought is the sense expressed by a sentence, and is what we prove [Frege]
19. Language / D. Propositions / 5. Unity of Propositions
The parts of a thought map onto the parts of a sentence [Frege]
26. Natural Theory / C. Causation / 5. Direction of causation
There are few traces of an event before it happens, but many afterwards [Lewis, by Horwich]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
Presentism is the view that only present objects exist [Markosian]
Presentism says if objects don't exist now, we can't have attitudes to them or relations with them [Markosian]
Presentism seems to entail that we cannot talk about other times [Markosian]
Serious Presentism says things must exist to have relations and properties; Unrestricted version denies this [Markosian]
Maybe Presentists can refer to the haecceity of a thing, after the thing itself disappears [Markosian]
Maybe Presentists can paraphrase singular propositions about the past [Markosian]
Special Relativity denies the absolute present which Presentism needs [Markosian]
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
Objects in the past, like Socrates, are more like imaginary objects than like remote spatial objects [Markosian]
People are mistaken when they think 'Socrates was a philosopher' says something [Markosian]