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3. Truth / B. Truthmakers / 6. Making Negative Truths

[how negative truths can have truthmakers]

10 ideas
It seems that when a proposition is false, something must fail to subsist [Russell]
     Full Idea: It seems that when a proposition is false, something does not subsist which would subsist if the proposition were true.
     From: Bertrand Russell (Meinong on Complexes and Assumptions [1904], p.76)
     A reaction: This looks to me like a commitment by Russell to the truthmaker principle. The negations of false propositions are made true by some failure of existence in the world.
Negative existentials have 'totality facts' as truthmakers [Armstrong, by Lewis]
     Full Idea: Armstrong offers 'totality facts' (complete states of affairs) as truthmakers for negative existentials, and for negated predications.
     From: report of David M. Armstrong (A Combinatorial Theory of Possibility [1989]) by David Lewis - Armstrong on combinatorial possibility 'The demand'
Negative truths have as truthmakers all states of affairs relevant to the truth [Armstrong]
     Full Idea: Postulate a higher-order state of affairs, of all the states of affairs in which Theaetetus is involved. Is this not a good candidate for a truthmaker for the negative truth that 'Theaetetus is not flying'?
     From: David M. Armstrong (Truth and Truthmakers [2004], 05.2)
     A reaction: It certainly seems extravagant to need the whole universe to make true 'there are no lions in this room'. But for 'there are no unicorns' it is not clear which states of affairs unicorns are involved. (Armstrong is aware of this).
The nature of arctic animals is truthmaker for the absence of penguins there [Armstrong]
     Full Idea: Each of the arctic animals is by its nature different from a penguin, so this general state of affairs seems truthmaker enough for this negative existential. Similarly, the totality of all birds eliminates the phoenix.
     From: David M. Armstrong (Truth and Truthmakers [2004], 06.2)
     A reaction: Why is it 'animals' in one case, and 'birds' in the other? What if there was no life in arctic? Would the snow then do the job? This doesn't seem to work.
If it were true that nothing at all existed, would that have a truthmaker? [Lewis]
     Full Idea: If there was absolutely nothing at all, then it would have been true that there was nothing. Would there have been a truthmaker for this truth?
     From: David Lewis (A world of truthmakers? [1998], p.220)
     A reaction: This is a problem for Lewis's own claim that 'truth supervenes on being', as well as the more restricted truthmakers invoked by Armstrong.
If nothing exists, no truthmakers could make 'Nothing exists' true [Sorensen]
     Full Idea: If nothing exists, then there are no truthmakers that could make 'Nothing exists' true.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 11.2)
     A reaction: [He cites David Lewis] We may be confusing truth with facts. I take facts to be independent of minds, but truth only makes sense as a concept in the presence of minds which are endeavouring to think well.
It is implausible that claims about non-existence are about existing things [Merricks]
     Full Idea: It is implausible that a claim asserting that a thing fails to exist is made true by - and so is appropriately about - some other, existing thing.
     From: Trenton Merricks (Truth and Ontology [2007], 3.V)
There are different types of truthmakers for different types of negative truth [MacBride]
     Full Idea: We recognise that what makes it true that there is no oil in this engine is different from what makes it true that there are no dodos left.
     From: Fraser MacBride (Truthmakers [2013], 2.1.4.1)
     A reaction: This looks like a local particular negation up against a universal negation. I'm not sure there is a big difference between 'my dodo's gone missing' (like my oil), and 'all the dodos have gone permanently missing'.
There aren't enough positive states out there to support all the negative truths [MacBride]
     Full Idea: It's not obvious that there are enough positive states out there to underwrite all the negative truths. Even though it may be true that this liquid is odourless this needn't be because there's something further about it that excludes its being odourless.
     From: Fraser MacBride (Truthmakers [2013], 2.1.4.1)
     A reaction: What is the ontological status of all these hypothetical truths? What is the truthmaker for 'a trillion trillion negative truths exist'? What is the status of 'this is not not-red'?
Without truthmakers, negative truths must be ungrounded [Cameron]
     Full Idea: If negative truths don't have truthmakers then make no mistake: they are ungrounded.
     From: Ross P. Cameron (Truthmakers, Realism and Ontology [2008], 'Max and Nec')
     A reaction: What would be the grounding for truths which expressed the necessary preconditions for all existence? Could 'nothing whatever exists' ever be a truth?