Combining Texts

All the ideas for 'Counterpart theory and Quant. Modal Logic', 'Introduction to the Theory of Logic' and 'A Powerful Particulars View of Causation'

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57 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 / 1. Set Theory
Sets can be defined by 'enumeration', or by 'abstraction' (based on a property) [Zalabardo]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
The 'Cartesian Product' of two sets relates them by pairing every element with every element [Zalabardo]
A 'partial ordering' is reflexive, antisymmetric and transitive [Zalabardo]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Determinacy: an object is either in a set, or it isn't [Zalabardo]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / l. Axiom of Specification
Specification: Determinate totals of objects always make a set [Zalabardo]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
A first-order 'sentence' is a formula with no free variables [Zalabardo]
Philosophers accepted first-order logic, because they took science to be descriptive, not explanatory [Ingthorsson]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Γ |= φ for sentences if φ is true when all of Γ is true [Zalabardo]
Γ |= φ if φ is true when all of Γ is true, for all structures and interpretations [Zalabardo]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / b. Basic connectives
Propositional logic just needs ¬, and one of ∧, ∨ and → [Zalabardo]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
The semantics shows how truth values depend on instantiations of properties and relations [Zalabardo]
We can do semantics by looking at given propositions, or by building new ones [Zalabardo]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
We make a truth assignment to T and F, which may be true and false, but merely differ from one another [Zalabardo]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
'Logically true' (|= φ) is true for every truth-assignment [Zalabardo]
Logically true sentences are true in all structures [Zalabardo]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
A sentence-set is 'satisfiable' if at least one truth-assignment makes them all true [Zalabardo]
Some formulas are 'satisfiable' if there is a structure and interpretation that makes them true [Zalabardo]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A structure models a sentence if it is true in the model, and a set of sentences if they are all true in the model [Zalabardo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
If a set is defined by induction, then proof by induction can be applied to it [Zalabardo]
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]
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 / D. Essence of Objects / 1. Essences of Objects
Aristotelian essentialism says essences are not relative to specification [Lewis]
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 / A. Necessity / 7. Natural Necessity
Causal necessities hold in all worlds compatible with the laws of nature [Lewis]
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]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
It doesn't take the whole of a possible Humphrey to win the election [Lewis]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
Counterpart theory is bizarre, as no one cares what happens to a mere counterpart [Kripke on Lewis]
Counterparts are not the original thing, but resemble it more than other things do [Lewis]
If the closest resembler to you is in fact quite unlike you, then you have no counterpart [Lewis]
Essential attributes are those shared with all the counterparts [Lewis]
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 / h. Presentism
It is difficult to handle presentism in first-order logic [Ingthorsson]