Combining Texts

All the ideas for 'fragments/reports', 'A Powerful Particulars View of Causation' and 'The Nature of Mathematical Knowledge'

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66 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 / E. Nonclassical Logics / 2. Intuitionist Logic
Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher]
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]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik]
Mathematical a priorism is conceptualist, constructivist or realist [Kitcher]
The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher]
The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers stand to measurement as natural numbers stand to counting [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / j. Complex numbers
Complex numbers were only accepted when a geometrical model for them was found [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A one-operation is the segregation of a single object [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
The old view is that mathematics is useful in the world because it describes the world [Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
With infinitesimals, you divide by the time, then set the time to zero [Kitcher]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher]
Mathematical intuition is not the type platonism needs [Kitcher]
If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Mathematical knowledge arises from basic perception [Kitcher]
My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher]
We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher]
The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Arithmetic is an idealizing theory [Kitcher]
Arithmetic is made true by the world, but is also made true by our constructions [Kitcher]
We develop a language for correlations, and use it to perform higher level operations [Kitcher]
Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher]
If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher]
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 / 2. Abstract Objects / b. Need for abstracta
Abstract objects were a bad way of explaining the structure in mathematics [Kitcher]
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]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
A priori knowledge comes from available a priori warrants that produce truth [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
In long mathematical proofs we can't remember the original a priori basis [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
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 / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
It is difficult to handle presentism in first-order logic [Ingthorsson]