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All the ideas for 'Abstract Objects', 'Logicism and Ontological Commits. of Arithmetic' and 'Philosophy of Science'

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79 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Instrumentalists say distinctions between observation and theory vanish with ostensive definition [Bird]
3. Truth / F. Semantic Truth / 2. Semantic Truth
Truth in a model is more tractable than the general notion of truth [Hodes]
Truth is quite different in interpreted set theory and in the skeleton of its language [Hodes]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Higher-order logic may be unintelligible, but it isn't set theory [Hodes]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Identity is a level one relation with a second-order definition [Hodes]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Mathematics is higher-order modal logic [Hodes]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic must allow for the possibility of only a finite total of objects [Hodes]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes]
Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes]
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realism is more plausible about laws than about entities and theories [Bird]
7. Existence / D. Theories of Reality / 7. Fictionalism
Talk of mirror images is 'encoded fictions' about real facts [Hodes]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
How we refer to abstractions is much less clear than how we refer to other things [Rosen]
10. Modality / B. Possibility / 6. Probability
Subjective probability measures personal beliefs; objective probability measures the chance of an event happening [Bird]
Objective probability of tails measures the bias of the coin, not our beliefs about it [Bird]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
Many philosophers rate justification as a more important concept than knowledge [Bird]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
As science investigates more phenomena, the theories it needs decreases [Bird]
14. Science / A. Basis of Science / 1. Observation
If theories need observation, and observations need theories, how do we start? [Bird]
14. Science / A. Basis of Science / 4. Prediction
Explanation predicts after the event; prediction explains before the event [Bird]
14. Science / B. Scientific Theories / 1. Scientific Theory
Relativity ousted Newtonian mechanics despite a loss of simplicity [Bird]
Realists say their theories involve truth and the existence of their phenomena [Bird]
There is no agreement on scientific method - because there is no such thing [Bird]
14. Science / B. Scientific Theories / 3. Instrumentalism
Instrumentalists regard theories as tools for prediction, with truth being irrelevant [Bird]
14. Science / C. Induction / 2. Aims of Induction
Induction is inference to the best explanation, where the explanation is a law [Bird]
14. Science / C. Induction / 3. Limits of Induction
If Hume is right about induction, there is no scientific knowledge [Bird]
Anything justifying inferences from observed to unobserved must itself do that [Bird]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Any conclusion can be drawn from an induction, if we use grue-like predicates [Bird]
Several months of observing beech trees supports the deciduous and evergreen hypotheses [Bird]
We normally learn natural kinds from laws, but Goodman shows laws require prior natural kinds [Bird]
14. Science / C. Induction / 6. Bayes's Theorem
Bayesianism claims to find rationality and truth in induction, and show how science works [Bird]
14. Science / D. Explanation / 1. Explanation / a. Explanation
The objective component of explanations is the things that must exist for the explanation [Bird]
We talk both of 'people' explaining things, and of 'facts' explaining things [Bird]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Explanations are causal, nomic, psychological, psychoanalytic, Darwinian or functional [Bird]
14. Science / D. Explanation / 2. Types of Explanation / b. Contrastive explanations
Contrastive explanations say why one thing happened but not another [Bird]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
'Covering law' explanations only work if no other explanations are to be found [Bird]
Livers always accompany hearts, but they don't explain hearts [Bird]
14. Science / D. Explanation / 2. Types of Explanation / l. Probabilistic explanations
Probabilistic-statistical explanations don't entail the explanandum, but makes it more likely [Bird]
An operation might reduce the probability of death, yet explain a death [Bird]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
Inference to the Best Explanation is done with facts, so it has to be realist [Bird]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
Maybe bad explanations are the true ones, in this messy world [Bird]
Which explanation is 'best' is bound to be subjective, and no guide to truth [Bird]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
Maybe explanation is so subjective that it cannot be a part of science [Bird]
18. Thought / E. Abstraction / 2. Abstracta by Selection
The Way of Abstraction used to say an abstraction is an idea that was formed by abstracting [Rosen]
18. Thought / E. Abstraction / 5. Abstracta by Negation
Nowadays abstractions are defined as non-spatial, causally inert things [Rosen]
Chess may be abstract, but it has existed in specific space and time [Rosen]
Sets are said to be abstract and non-spatial, but a set of books can be on a shelf [Rosen]
18. Thought / E. Abstraction / 6. Abstracta by Conflation
Conflating abstractions with either sets or universals is a big claim, needing a big defence [Rosen]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Functional terms can pick out abstractions by asserting an equivalence relation [Rosen]
Abstraction by equivalence relationships might prove that a train is an abstract entity [Rosen]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Natural kinds are those that we use in induction [Bird]
Rubies and sapphires are both corundum, with traces of metals varying their colours [Bird]
Tin is not one natural kind, but appears to be 21, depending on isotope [Bird]
Membership of a purely random collection cannot be used as an explanation [Bird]
Natural kinds may overlap, or be sub-kinds of one another [Bird]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
If F is a universal appearing in a natural law, then Fs form a natural kind [Bird]
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
In the Kripke-Putnam view only nuclear physicists can know natural kinds [Bird]
Darwinism suggests that we should have a native ability to detect natural kinds [Bird]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
Nominal essence of a natural kind is the features that make it fit its name [Bird]
Jadeite and nephrite are superficially identical, but have different composition [Bird]
Reference to scientific terms is by explanatory role, not by descriptions [Bird]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Laws are more fundamental in science than causes, and laws will explain causes [Bird]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Newton's laws cannot be confirmed individually, but only in combinations [Bird]
Parapsychology is mere speculation, because it offers no mechanisms for its working [Bird]
Existence requires laws, as inertia or gravity are needed for mass or matter [Bird]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
'All uranium lumps are small' is a law, but 'all gold lumps are small' is not [Bird]
There can be remarkable uniformities in nature that are purely coincidental [Bird]
A law might have no instances, if it was about things that only exist momentarily [Bird]
If laws are just instances, the law should either have gaps, or join the instances arbitrarily [Bird]
Where is the regularity in a law predicting nuclear decay? [Bird]
Laws cannot explain instances if they are regularities, as something can't explain itself [Bird]
Similar appearance of siblings is a regularity, but shared parents is what links them [Bird]
We can only infer a true regularity if something binds the instances together [Bird]
If we only infer laws from regularities among observations, we can't infer unobservable entities. [Bird]
Accidental regularities are not laws, and an apparent regularity may not be actual [Bird]
There may be many laws, each with only a few instances [Bird]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
A regularity is only a law if it is part of a complete system which is simple and strong [Bird]
With strange enough predicates, anything could be made out to be a regularity [Bird]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
If flame colour is characteristic of a metal, that is an empirical claim needing justification [Bird]
27. Natural Reality / B. Modern Physics / 4. Standard Model / d. Mass
In Newton mass is conserved, but in Einstein it can convert into energy [Bird]