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All the ideas for 'Mathematical Methods in Philosophy', 'The Structure of Objects' and 'works'

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32 ideas

2. Reason / D. Definition / 1. Definitions
Definition just needs negation, known variables, conjunction, disjunction, substitution and quantification [Weyl, by Lavine]
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 / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
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 / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
Some questions concern mathematical entities, rather than whole structures [Koslicki]
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
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]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
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]