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All the ideas for 'Logical Pluralism', 'Ontology and Mathematical Truth' and 'Philosophy of Science'

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92 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Instrumentalists say distinctions between observation and theory vanish with ostensive definition [Bird]
3. Truth / A. Truth Problems / 1. Truth
Some truths have true negations [Beall/Restall]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A truthmaker is an object which entails a sentence [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
(∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
Excluded middle must be true for some situation, not for all situations [Beall/Restall]
It's 'relevantly' valid if all those situations make it true [Beall/Restall]
Relevant logic does not abandon classical logic [Beall/Restall]
Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall]
A doesn't imply A - that would be circular [Beall/Restall]
Relevant logic may reject transitivity [Beall/Restall]
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall]
Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
The model theory of classical predicate logic is mathematics [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
There are several different consequence relations [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
A sentence follows from others if they always model it [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A model is 'fundamental' if it contains only concrete entities [Jubien]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
There couldn't just be one number, such as 17 [Jubien]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
The subject-matter of (pure) mathematics is abstract structure [Jubien]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
If we all intuited mathematical objects, platonism would be agreed [Jubien]
How can pure abstract entities give models to serve as interpretations? [Jubien]
Since mathematical objects are essentially relational, they can't be picked out on their own [Jubien]
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realism is more plausible about laws than about entities and theories [Bird]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
The empty set is the purest abstract object [Jubien]
10. Modality / A. Necessity / 3. Types of Necessity
Relevant necessity is always true for some situation (not all situations) [Beall/Restall]
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 / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is always predicating a property of a subject [Beall/Restall]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
We can rest truth-conditions on situations, rather than on possible worlds [Beall/Restall]
19. Language / D. Propositions / 1. Propositions
Propositions commit to content, and not to any way of spelling it out [Beall/Restall]
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]
There may be many laws, each with only a few instances [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]
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]