Combining Texts

All the ideas for 'Truth and the Past', 'The Philosophy of Mathematics' and 'A Powerful Particulars View of Causation'

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50 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Metaphysics can criticise interpretations of science theories, and give good feedback [Ingthorsson]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Philosophers accepted first-order logic, because they took science to be descriptive, not explanatory [Ingthorsson]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Undecidable statements result from quantifying over infinites, subjunctive conditionals, and the past tense [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths and inference are characterized either syntactically or semantically [Dummett]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
Surely there is no exact single grain that brings a heap into existence [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists rely on the proof of mathematical statements, not their truth [Dummett]
7. Existence / B. Change in Existence / 1. Nature of Change
A 'Cambridge Change' is like saying 'the landscape changes as you travel east' [Dummett]
7. Existence / B. Change in Existence / 2. Processes
Basic processes are said to be either physical, or organic, or psychological [Ingthorsson]
7. Existence / D. Theories of Reality / 2. Realism
Indirect realists are cautious about the manifest image, and prefer the scientific image [Ingthorsson]
7. Existence / D. Theories of Reality / 4. Anti-realism
I no longer think what a statement about the past says is just what can justify it [Dummett]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Neo-Humeans say there are no substantial connections between anything [Ingthorsson]
8. Modes of Existence / B. Properties / 3. Types of Properties
Properties are said to be categorical qualities or non-qualitative dispositions [Ingthorsson]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Physics understands the charge of an electron as a power, not as a quality [Ingthorsson]
9. Objects / A. Existence of Objects / 1. Physical Objects
Compound objects are processes, insofar as change is essential to them [Ingthorsson]
9. Objects / A. Existence of Objects / 5. Simples
Most materialist views postulate smallest indivisible components which are permanent [Ingthorsson]
9. Objects / E. Objects over Time / 1. Objects over Time
Endurance and perdurance just show the consequences of A or B series time [Ingthorsson]
Science suggests causal aspects of the constitution and persistance of objects [Ingthorsson]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
If causation involves production, that needs persisting objects [Ingthorsson]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Every philosophical theory must be true in some possible world, so the ontology is hopeless [Ingthorsson]
Worlds may differ in various respects, but no overall similarity of worlds is implied [Ingthorsson]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
The existence of a universe without sentience or intelligence is an unintelligible fantasy [Dummett]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Verification is not an individual but a collective activity [Dummett]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth-condition theorists must argue use can only be described by appeal to conditions of truth [Dummett]
The truth-conditions theory must get agreement on a conception of truth [Dummett]
26. Natural Theory / C. Causation / 2. Types of cause
Humeans describe the surface of causation, while powers accounts aim at deeper explanations [Ingthorsson]
Time and space are not causal, but they determine natural phenomena [Ingthorsson]
26. Natural Theory / C. Causation / 4. Naturalised causation
Casuation is the transmission of conserved quantities between causal processes [Ingthorsson]
Causation as transfer only works for asymmetric interactions [Ingthorsson]
Interventionist causal theory says it gets a reliable result whenever you manipulate it [Ingthorsson]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causal events are always reciprocal, and there is no distinction of action and reaction [Ingthorsson]
One effect cannot act on a second effect in causation, because the second doesn't yet exist [Ingthorsson]
Empiricists preferred events to objects as the relata, because they have observable motions [Ingthorsson]
Science now says all actions are reciprocal, not unidirectional [Ingthorsson]
Causes are not agents; the whole interaction is the cause, and the changed compound is the effect [Ingthorsson]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
People only accept the counterfactual when they know the underlying cause [Ingthorsson]
Counterfactuals don't explain causation, but causation can explain counterfactuals [Ingthorsson]
Counterfactual theories are false in possible worlds where causation is actual [Ingthorsson]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
A cause can fail to produce its normal effect, by prevention, pre-emption, finks or antidotes [Ingthorsson]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Any process can go backwards or forwards in time without violating the basic laws of physics [Ingthorsson]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
In modern physics the first and second laws of motion (unlike the third) fail at extremes [Ingthorsson]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
If particles have decay rates, they can't really be elementary, in the sense of indivisible [Ingthorsson]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
Maybe past (which affects us) and future (which we can affect) are both real [Dummett]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
It is difficult to handle presentism in first-order logic [Ingthorsson]
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
The present cannot exist alone as a mere boundary; past and future truths are rendered meaningless [Dummett]