Combining Texts

All the ideas for 'Logicism and Ontological Commits. of Arithmetic', 'Reference and Reflexivity' and 'The Structure of Objects'

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33 ideas

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]
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
Higher-order logic may be unintelligible, but it isn't set theory [Hodes]
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 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 / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
Some questions concern mathematical entities, rather than whole structures [Koslicki]
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 / 7. Fictionalism
Talk of mirror images is 'encoded fictions' about real facts [Hodes]
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]
18. Thought / A. Modes of Thought / 9. Indexical Thought
Indexical thoughts are about themselves, and ascribe properties to themselves [Perry, by Recanati]
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]