Combining Texts

All the ideas for 'Deflationary Metaontology of Thomasson', 'Plurals and Complexes' and 'Laws of Nature'

expand these ideas     |    start again     |     specify just one area for these texts


50 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
The Square of Opposition has two contradictory pairs, one contrary pair, and one sub-contrary pair [Harré]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is a non-logical principle of set-theory [Hossack]
The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Extensional mereology needs two definitions and two axioms [Hossack]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 1. Quantification
Traditional quantifiers combine ordinary language generality and ontology assumptions [Harré]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Some quantifiers, such as 'any', rule out any notion of order within their range [Harré]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I take the real numbers to be just lengths [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
Set theory is the science of infinity [Hossack]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Scientific properties are not observed qualities, but the dispositions which create them [Harré]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Complex particulars are either masses, or composites, or sets [Hossack]
The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J]
10. Modality / A. Necessity / 7. Natural Necessity
Laws of nature remain the same through any conditions, if the underlying mechanisms are unchanged [Harré]
14. Science / A. Basis of Science / 1. Observation
In physical sciences particular observations are ordered, but in biology only the classes are ordered [Harré]
14. Science / A. Basis of Science / 3. Experiment
Reports of experiments eliminate the experimenter, and present results as the behaviour of nature [Harré]
14. Science / A. Basis of Science / 5. Anomalies
We can save laws from counter-instances by treating the latter as analytic definitions [Harré]
14. Science / B. Scientific Theories / 1. Scientific Theory
Since there are three different dimensions for generalising laws, no one system of logic can cover them [Harré]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
The grue problem shows that natural kinds are central to science [Harré]
'Grue' introduces a new causal hypothesis - that emeralds can change colour [Harré]
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
Non-black non-ravens just aren't part of the presuppositions of 'all ravens are black' [Harré]
It is because ravens are birds that their species and their colour might be connected [Harré]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
The necessity of Newton's First Law derives from the nature of material things, not from a mechanism [Harré]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Idealisation idealises all of a thing's properties, but abstraction leaves some of them out [Harré]
18. Thought / A. Modes of Thought / 1. Thought
A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Science rests on the principle that nature is a hierarchy of natural kinds [Harré]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Classification is just as important as laws in natural science [Harré]
Newton's First Law cannot be demonstrated experimentally, as that needs absence of external forces [Harré]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Laws can come from data, from theory, from imagination and concepts, or from procedures [Harré]
Are laws of nature about events, or types and universals, or dispositions, or all three? [Harré]
Are laws about what has or might happen, or do they also cover all the possibilities? [Harré]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
Maybe laws of nature are just relations between properties? [Harré]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
We take it that only necessary happenings could be laws [Harré]
Laws describe abstract idealisations, not the actual mess of nature [Harré]
Must laws of nature be universal, or could they be local? [Harré]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Laws of nature state necessary connections of things, events and properties, based on models of mechanisms [Harré]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
In counterfactuals we keep substances constant, and imagine new situations for them [Harré]
27. Natural Reality / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]