Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Intro to the Philosophy of Time' and 'Begriffsschrift'

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62 ideas

1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Frege changed philosophy by extending logic's ability to check the grounds of thinking [Potter on Frege]
2. Reason / B. Laws of Thought / 1. Laws of Thought
We should not describe human laws of thought, but how to correctly track truth [Frege, by Fisher]
2. Reason / F. Fallacies / 2. Infinite Regress
Vicious regresses force you to another level; non-vicious imply another level [Baron/Miller]
4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
I don't use 'subject' and 'predicate' in my way of representing a judgement [Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / d. Universal quantifier ∀
For Frege, 'All A's are B's' means that the concept A implies the concept B [Frege, by Walicki]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Frege has a judgement stroke (vertical, asserting or judging) and a content stroke (horizontal, expressing) [Frege, by Weiner]
The laws of logic are boundless, so we want the few whose power contains the others [Frege]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
In 1879 Frege developed second order logic [Frege, by Putnam]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Frege replaced Aristotle's subject/predicate form with function/argument form [Frege, by Weiner]
5. Theory of Logic / G. Quantification / 1. Quantification
A quantifier is a second-level predicate (which explains how it contributes to truth-conditions) [Frege, by George/Velleman]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
For Frege the variable ranges over all objects [Frege, by Tait]
Frege's domain for variables is all objects, but modern interpretations first fix the domain [Dummett on Frege]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
Frege introduced quantifiers for generality [Frege, by Weiner]
Frege reduced most quantifiers to 'everything' combined with 'not' [Frege, by McCullogh]
5. Theory of Logic / H. Proof Systems / 1. Proof Systems
Proof theory began with Frege's definition of derivability [Frege, by Prawitz]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Frege produced axioms for logic, though that does not now seem the natural basis for logic [Frege, by Kaplan]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
5. Theory of Logic / L. Paradox / 7. Paradoxes of Time
A traveller takes a copy of a picture into the past, gives it the artist, who then creates the original! [Baron/Miller]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
It may be possible to define induction in terms of the ancestral relation [Frege, by Wright,C]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Frege's logic has a hierarchy of object, property, property-of-property etc. [Frege, by Smith,P]
7. Existence / A. Nature of Existence / 1. Nature of Existence
Existence is not a first-order property, but the instantiation of a property [Frege, by Read]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Grounding is intended as a relation that fits dependences between things [Baron/Miller]
9. Objects / E. Objects over Time / 2. Objects that Change
How does a changing object retain identity or have incompatible properties over time? [Baron/Miller]
19. Language / C. Assigning Meanings / 4. Compositionality
Frege's account was top-down and decompositional, not bottom-up and compositional [Frege, by Potter]
26. Natural Theory / C. Causation / 1. Causation
Modern accounts of causation involve either processes or counterfactuals [Baron/Miller]
26. Natural Theory / C. Causation / 4. Naturalised causation
The main process theory of causation says it is transference of mass, energy, momentum or charge [Baron/Miller]
If causes are processes, what is causation by omission? (Distinguish legal from scientific causes?) [Baron/Miller]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
The counterfactual theory of causation handles the problem no matter what causes actually are [Baron/Miller]
Counterfactual theories struggle with pre-emption by a causal back-up system [Baron/Miller]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / d. Entropy
There is no second 'law' of thermodynamics; it just reflects probabilities of certain microstates [Baron/Miller]
27. Natural Reality / C. Space / 6. Space-Time
In relativity space and time depend on one's motion, but spacetime gives an invariant metric [Baron/Miller]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
The block universe theory says entities of all times exist, and time is the B-series [Baron/Miller]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
How can we know this is the present moment, if other times are real? [Baron/Miller]
If we are actually in the past then we shouldn't experience time passing [Baron/Miller]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
Erzatz Presentism allows the existence of other times, with only the present 'actualised' [Baron/Miller]
How do presentists explain relations between things existing at different times? [Baron/Miller]
Presentism needs endurantism, because other theories imply most of the object doesn't exist [Baron/Miller]
How can presentists move to the next future moment, if that doesn't exist? [Baron/Miller]
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
Most of the sciences depend on the concept of time [Baron/Miller]
27. Natural Reality / D. Time / 2. Passage of Time / a. Experience of time
For abstractionists past times might still exist, althought their objects don't [Baron/Miller]
The error theory of time's passage says it is either a misdescription or a false inference [Baron/Miller]
27. Natural Reality / D. Time / 2. Passage of Time / b. Rate of time
It is meaningless to measure the rate of time using time itself, and without a rate there is no flow [Baron/Miller]
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
The C-series rejects A and B, and just sees times as order by betweenness, without direction [Baron/Miller]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
The A-series has to treat being past, present or future as properties [Baron/Miller]
27. Natural Reality / D. Time / 2. Passage of Time / f. Tenseless (B) series
The B-series can have a direction, as long as it does not arise from temporal flow [Baron/Miller]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
Static theories cannot account for time's obvious asymmetry, so time must be dynamic [Baron/Miller]
The direction of time is either primitive, or reducible to something else [Baron/Miller]
The kaon does not seem to be time-reversal invariant, unlike the rest of nature [Baron/Miller]
Maybe the past is just the direction of decreasing entropy [Baron/Miller]
We could explain time's direction by causation: past is the direction of causes, future of effects [Baron/Miller]
27. Natural Reality / D. Time / 2. Passage of Time / h. Change in time
Static time theory presents change as one property at t1, and a different property at t2 [Baron/Miller]
27. Natural Reality / D. Time / 2. Passage of Time / j. Time travel
If a time traveller kills his youthful grandfather, he both exists and fails to exist [Baron/Miller]
Presentism means there no existing past for a time traveller to visit [Baron/Miller]
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
The past (unlike the future) is fixed, along with truths about it, by the existence of past objects [Baron/Miller]
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
The moving spotlight says entities can have properties of being present, past or future [Baron/Miller]
The present moment is a matter of existence, not of acquiring a property [Baron/Miller]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The predicate 'exists' is actually a natural language expression for a quantifier [Frege, by Weiner]