Combining Texts

All the ideas for 'The Structure of Objects', 'Aristotle and Descartes on Matter' and 'To be is to be the value of a variable..'

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34 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Does a bowl of Cheerios contain all its sets and subsets? [Boolos]
4. Formal Logic / G. Formal Mereology / 1. Mereology
The 'aggregative' objections says mereology gets existence and location of objects wrong [Koslicki]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]
Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]
Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Consequence is truth-preserving, either despite substitutions, or in all interpretations [Koslicki]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
'Roses are red; therefore, roses are colored' seems truth-preserving, but not valid in a system [Koslicki]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro]
Plural forms have no more ontological commitment than to first-order objects [Boolos]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Boolos invented plural quantification [Boolos, by Benardete,JA]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
Some questions concern mathematical entities, rather than whole structures [Koslicki]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
First- and second-order quantifiers are two ways of referring to the same things [Boolos]
8. Modes of Existence / A. Relations / 3. Structural Relations
Structures have positions, constituent types and number, and some invariable parts [Koslicki]
8. Modes of Existence / B. Properties / 6. Categorical Properties
'Categorical' properties exist in the actual world, and 'hypothetical' properties in other worlds [Koslicki]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
I aim to put the notion of structure or form back into the concepts of part, whole and object [Koslicki]
If a whole is just a structure, a dinner party wouldn't need the guests to turn up [Koslicki]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
The clay is just a part of the statue (its matter); the rest consists of its form or structure [Koslicki]
Statue and clay differ in modal and temporal properties, and in constitution [Koslicki]
9. Objects / C. Structure of Objects / 2. Hylomorphism / c. Form as causal
Structure or form are right at the centre of modern rigorous modes of enquiry [Koslicki]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
There are at least six versions of constitution being identity [Koslicki]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
For three-dimensionalist parthood must be a three-place relation, including times [Koslicki]
The parts may be the same type as the whole, like a building made of buildings [Koslicki]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Wholes in modern mereology are intended to replace sets, so they closely resemble them [Koslicki]
Wholes are entities distinct from their parts, and have different properties [Koslicki]
Wholes are not just their parts; a whole is an entity distinct from the proper parts [Koslicki]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
Prime matter is nothing when it is at rest [Leibniz]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
The Kripke/Putnam approach to natural kind terms seems to give them excessive stability [Koslicki]
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
Natural kinds support inductive inferences, from previous samples to the next one [Koslicki]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
Concepts for species are either intrinsic structure, or relations like breeding or ancestry [Koslicki]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
Should vernacular classifications ever be counted as natural kind terms? [Koslicki]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
There are apparently no scientific laws concerning biological species [Koslicki]