Combining Texts

All the ideas for 'Sweet Dreams', 'Frege philosophy of mathematics' and 'The Metaphysics within Physics'

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63 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
The metaphysics of nature should focus on physics [Maudlin]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Kant survives in seeing metaphysics as analysing our conceptual system, which is a priori [Maudlin]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Wide metaphysical possibility may reduce metaphysics to analysis of fantasies [Maudlin]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
If the universe is profligate, the Razor leads us astray [Maudlin]
The Razor rightly prefers one cause of multiple events to coincidences of causes [Maudlin]
2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
7. Existence / C. Structure of Existence / 5. Supervenience / d. Humean supervenience
The Humean view is wrong; laws and direction of time are primitive, and atoms are decided by physics [Maudlin]
Lewis says it supervenes on the Mosaic, but actually thinks the Mosaic is all there is [Maudlin]
If the Humean Mosaic is ontological bedrock, there can be no explanation of its structure [Maudlin]
The 'spinning disc' is just impossible, because there cannot be 'homogeneous matter' [Maudlin]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
To get an ontology from ontological commitment, just add that some theory is actually true [Maudlin]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Naïve translation from natural to formal language can hide or multiply the ontology [Maudlin]
8. Modes of Existence / B. Properties / 5. Natural Properties
A property is fundamental if two objects can differ in only that respect [Maudlin]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Fundamental physics seems to suggest there are no such things as properties [Maudlin]
8. Modes of Existence / D. Universals / 2. Need for Universals
Existence of universals may just be decided by acceptance, or not, of second-order logic [Maudlin]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Logically impossible is metaphysically impossible, but logically possible is not metaphysically possible [Maudlin]
10. Modality / B. Possibility / 9. Counterfactuals
A counterfactual antecedent commands the redescription of a selected moment [Maudlin]
14. Science / C. Induction / 1. Induction
Induction leaps into the unknown, but usually lands safely [Maudlin]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Laws should help explain the things they govern, or that manifest them [Maudlin]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
Obviously there can't be a functional anaylsis of qualia if they are defined by intrinsic properties [Dennett]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
The work done by the 'homunculus in the theatre' must be spread amongst non-conscious agencies [Dennett]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Intelligent agents are composed of nested homunculi, of decreasing intelligence, ending in machines [Dennett]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
I don't deny consciousness; it just isn't what people think it is [Dennett]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
What matters about neuro-science is the discovery of the functional role of the chemistry [Dennett]
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
An argument for conceptual priority is greater simplicity in explanation [Dummett]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Evaluating counterfactuals involves context and interests [Maudlin]
We don't pick a similar world from many - we construct one possibility from the description [Maudlin]
If we know the cause of an event, we seem to assent to the counterfactual [Maudlin]
The counterfactual is ruined if some other cause steps in when the antecedent fails [Maudlin]
If the effect hadn't occurred the cause wouldn't have happened, so counterfactuals are two-way [Maudlin]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Laws of nature are ontological bedrock, and beyond analysis [Maudlin]
Laws are primitive, so two indiscernible worlds could have the same laws [Maudlin]
Fundamental laws say how nature will, or might, evolve from some initial state [Maudlin]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
'Humans with prime house numbers are mortal' is not a law, because not a natural kind [Maudlin]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
If laws are just regularities, then there have to be laws [Maudlin]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
I believe the passing of time is a fundamental fact about the world [Maudlin]
27. Natural Reality / D. Time / 2. Passage of Time / b. Rate of time
If time passes, presumably it passes at one second per second [Maudlin]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
There is one ordered B series, but an infinitude of A series, depending on when the present is [Maudlin]