Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Essence and Accident' and 'Abstract Objects: a Case Study'

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19 ideas

5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
18739 Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
18741 Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
18744 Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
10580 Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
10579 Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
7. Existence / A. Nature of Existence / 1. Nature of Existence
18740 If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
10577 Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
10578 We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
12312 The real essence of a thing is its powers, or 'dispositional properties' [Copi]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
10937 Essential properties are the 'deepest' ones which explain the others [Copi, by Rami]
9. Objects / D. Essence of Objects / 13. Nominal Essence
12308 In modern science, nominal essence is intended to be real essence [Copi]
9. Objects / E. Objects over Time / 11. End of an Object
12303 Within the four types of change, essential attributes are those whose loss means destruction [Copi]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
18745 A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
18747 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
18748 Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
18746 Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
18750 Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
12307 Modern science seeks essences, and is getting closer to them [Copi]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
12310 Real essences are scientifically knowable, but so are non-essential properties [Copi]