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On the modal entailment criterion, these theories have the same ontological commitments; moreover, supposing numbers do exist, the theory that explicitly denies the existence of numbers is nonetheless committed to numbers.
Behind the scenes, G.O.P. insiders fretted that, in attacking the very existence of numbers, Trump was veering wildly off message.
If Delta won't acknowledge the existence of numbers between 14 and 15, she can state a number they understand and that more accurately represents her age.
The realist is likely to suppose that the relevant facts include the facts of mathematics, which, taken at face value, do require the existence of numbers, sets, and so on.
This view rejects the belief in the existence of numbers, sets, and so on and also rejects the belief that mathematical theorems provide true descriptions of some part of the world.
Now, of course, we have already gone through a platonistic argument — indeed, a Fregean argument — for the existence of numbers.
Similar(42)
The first is of the existence of large numbers of self-reactive immune cells, normally deleted or inactivated during tolerization, with specificity for a limited number of autoantigens.
The constructive logicist is not even committed (by the rules he lays down) to the existence of the number of all natural numbers.
In Marx's estimation, it was not the pressure of population that drove wages to the subsistence level but rather the existence of large numbers of unemployed workers.
Part of Purdue's strategy from the beginning has been to create a market for OxyContin — to instill a perceived need by making bold claims about the existence of large numbers of people suffering from untreated chronic pain.
It suggests if the trend continues it "runs the risk of perpetuating the existence of substantial numbers of temporary jobs with unsociable hours that are increasingly only attractive to migrant workers".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com