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Single Idea 6163

[filed under theme 5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence ]

Full Idea

If you reject the principle of bivalence (that a proposition is either determinately true or false), then statements are also not subject to the Law of Excluded Middle (P or not-P).

Gist of Idea

If bivalence is rejected, then excluded middle must also be rejected

Source

Mark Rowlands (Externalism [2003], Ch.3)

Book Ref

Rowlands,Mark: 'Externalism' [Acumen 2003], p.52


A Reaction

I think Rowlands is wrong about this. Excluded Middle could be purely syntacti, or its semantics could be 'True or Not-True'. Only bivalent excluded middle introduces 'True or False'. Compare Idea 4752.

Related Ideas

Idea 4752 Deflationism must reduce bivalence ('p is true or false') to excluded middle ('p or not-p') [Engel]

Idea 9024 Excluded middle has three different definitions [Quine]


The 16 ideas from 'Externalism'

Moral intuition seems unevenly distributed between people [Rowlands]
It is common to see the value of nature in one feature, such as life, diversity, or integrity [Rowlands]
The 17th century reintroduced atoms as mathematical modes of Euclidean space [Rowlands]
Supervenience of mental and physical properties often comes with token-identity of mental and physical particulars [Rowlands]
Tokens are dated, concrete particulars; types are their general properties or kinds [Rowlands]
Supervenience is a one-way relation of dependence or determination between properties [Rowlands]
It is argued that wholes possess modal and counterfactual properties that parts lack [Rowlands]
Minds are rational, conscious, subjective, self-knowing, free, meaningful and self-aware [Rowlands]
Structuralism is neo-Kantian idealism, with language playing the role of categories of understanding [Rowlands]
If bivalence is rejected, then excluded middle must also be rejected [Rowlands]
Strong idealism is the sort of mess produced by a Cartesian separation of mind and world [Rowlands]
The content of a thought is just the meaning of a sentence [Rowlands]
Action is bodily movement caused by intentional states [Rowlands]
Natural kinds are defined by their real essence, as in gold having atomic number 79 [Rowlands]
Content externalism implies that we do not have privileged access to our own minds [Rowlands]
If someone is secretly transported to Twin Earth, others know their thoughts better than they do [Rowlands]