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Single Idea 10577

[filed under theme 7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete ]

Full Idea

Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.

Gist of Idea

Concrete objects have few essential properties, but properties of abstractions are mostly essential

Source

Stephen Yablo (Abstract Objects: a Case Study [2002], 01)

Book Ref

-: 'Nous' [-], p.220


The 33 ideas from Stephen Yablo

If sentences point to different evidence, they must have different subject-matter [Yablo]
Sentence-meaning is the truth-conditions - plus factors responsible for them [Yablo]
The content of an assertion can be quite different from compositional content [Yablo]
A statement S is 'partly true' if it has some wholly true parts [Yablo]
Truth-conditions as subject-matter has problems of relevance, short cut, and reversal [Yablo]
Parthood lacks the restriction of kind which most relations have [Yablo]
y is only a proper part of x if there is a z which 'makes up the difference' between them [Yablo]
'Pegasus doesn't exist' is false without Pegasus, yet the absence of Pegasus is its truthmaker [Yablo]
A nominalist can assert statements about mathematical objects, as being partly true [Yablo]
Most people say nonblack nonravens do confirm 'all ravens are black', but only a tiny bit [Yablo]
Gettier says you don't know if you are confused about how it is true [Yablo]
Not-A is too strong to just erase an improper assertion, because it actually reverses A [Yablo]
An 'enthymeme' is an argument with an indispensable unstated assumption [Yablo]
A theory need not be true to be good; it should just be true about its physical aspects [Yablo]
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
Philosophers keep finding unexpected objects, like models, worlds, functions, numbers, events, sets, properties [Yablo]
The main modal logics disagree over three key formulae [Yablo]
Platonic objects are really created as existential metaphors [Yablo]
Hardly a word in the language is devoid of metaphorical potential [Yablo]
We quantify over events, worlds, etc. in order to make logical possibilities clearer [Yablo]
We must treat numbers as existing in order to express ourselves about the arrangement of planets [Yablo]
If 'the number of Democrats is on the rise', does that mean that 50 million is on the rise? [Yablo]
A sentence should be recarved to reveal its content or implication relations [Yablo]
Governing possible worlds theory is the fiction that if something is possible, it happens in a world [Yablo]
Fictionalism allows that simulated beliefs may be tracking real facts [Yablo]
A statue is essentially the statue, but its lump is not essentially a statue, so statue isn't lump [Yablo, by Rocca]
For me, fictions are internally true, without a significant internal or external truth-value [Yablo]
Make-believe can help us to reason about facts and scientific procedures [Yablo]
'The clouds are angry' can only mean '...if one were attributing emotions to clouds' [Yablo]
An infinite series of sentences asserting falsehood produces the paradox without self-reference [Yablo, by Sorensen]