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Single Idea 6548

[filed under theme 4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory ]

Full Idea

Eventually set theory will have to be either naturalised or rejected, if a thoroughgoing physicalism is to be maintained.

Gist of Idea

Physicalism requires the naturalisation or rejection of set theory

Source

William Lycan (Consciousness [1987], 8.4)

Book Ref

Lycan,William G.: 'Consciousness' [MIT 1995], p.90


A Reaction

Personally I regard Platonism as a form of naturalism (though a rather bold and dramatic one). The central issue seems to be the ability of the human main/brain to form 'abstract' notions about the physical world in which it lives.


The 43 ideas from William Lycan

If energy in the brain disappears into thin air, this breaches physical conservation laws [Lycan]
In lower animals, psychology is continuous with chemistry, and humans are continuous with animals [Lycan]
I see the 'role'/'occupant' distinction as fundamental to metaphysics [Lycan]
Institutions are not reducible as types, but they are as tokens [Lycan]
Types cannot be reduced, but levels of reduction are varied groupings of the same tokens [Lycan]
One location may contain molecules, a metal strip, a key, an opener of doors, and a human tragedy [Lycan]
Mental types are a subclass of teleological types at a high level of functional abstraction [Lycan]
Teleological characterisations shade off smoothly into brutely physical ones [Lycan]
We reduce the mind through homuncular groups, described abstractly by purpose [Lycan]
Teleological functionalism helps us to understand psycho-biological laws [Lycan]
Teleological views allow for false intentional content, unlike causal and nomological theories [Lycan]
The distinction between software and hardware is not clear in computing [Lycan]
We need a notion of teleology that comes in degrees [Lycan]
Intentionality comes in degrees [Lycan]
Identity theory is functionalism, but located at the lowest level of abstraction [Lycan]
If functionalism focuses on folk psychology, it ignores lower levels of function [Lycan]
Functionalism must not be too abstract to allow inverted spectrum, or so structural that it becomes chauvinistic [Lycan]
A Martian may exhibit human-like behaviour while having very different sensations [Lycan]
Pain is composed of urges, desires, impulses etc, at different levels of abstraction [Lycan]
The right 'level' for qualia is uncertain, though top (behaviourism) and bottom (particles) are false [Lycan]
Physicalism requires the naturalisation or rejection of set theory [Lycan]
I think greenness is a complex microphysical property of green objects [Lycan]
'Physical' means either figuring in physics descriptions, or just located in space-time [Lycan]
Two behaviourists meet. The first says,"You're fine; how am I?" [Lycan]
People are trying to explain biological teleology in naturalistic causal terms [Lycan]
'Lightning is electric discharge' and 'Phosphorus is Venus' are synthetic a posteriori identities [Lycan]
Functionalism has three linked levels: physical, functional, and mental [Lycan]
A mental state is a functional realisation of a brain state when it serves the purpose of the organism [Lycan]
Biologists see many organic levels, 'abstract' if seen from below, 'structural' if seen from above [Lycan]
Singular terms refer, using proper names, definite descriptions, singular personal pronouns, demonstratives, etc. [Lycan]
It is hard to state a rule of use for a proper name [Lycan]
Could I successfully use an expression, without actually understanding it? [Lycan]
Meaning must be known before we can consider verification [Lycan]
Truth conditions will come out the same for sentences with 'renate' or 'cordate' [Lycan]
The truth conditions theory sees meaning as representation [Lycan]
A sentence's truth conditions is the set of possible worlds in which the sentence is true [Lycan]
Possible worlds explain aspects of meaning neatly - entailment, for example, is the subset relation [Lycan]
Maybe Ockham's Razor is a purely aesthetic principle [Lycan]
The Razor seems irrelevant for Meinongians, who allow absolutely everything to exist [Lycan]
Maybe non-existent objects are sets of properties [Lycan]
Treating possible worlds as mental needs more actual mental events [Lycan]
If 'worlds' are sentences, and possibility their consistency, consistency may rely on possibility [Lycan]
Possible worlds must be made of intensional objects like propositions or properties [Lycan]