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I saw the site was available, I had been for dinner, knew the location and thought it was an ideal proposition to remodel and develop into a quality restaurant.
This is the defining property of an ideal proposition.
The content of an ideal proposition is to be understood in terms of the (syntactic) consistency of the whole system consisting of ideal and real propositions being asserted.
When Hilbert, in 1926 explicitly introduces the notion of an ideal proposition, and in 1928, when he first speaks of real propositions in addition to the ideal, he is quite clear that the real part of the theory consists only of decidable, variable-free formulas.
Due to these requirements, the ideal proposition seems to be extracellular matrix-derived grafts, like bladder acellular matrix (BAM).
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For Norris, clear and distinct mental propositions reflect ideal propositions.
Hilbert viewed ideal propositions as akin to the ideal lines and points "at infinity" of projective geometry.
Our thoughts are always about the ideal propositions, constituted by the divine ideas as they are related to one another.
Since Norris holds that our clear and distinct mental propositions track ideal propositions, we can conclude that shape and dimensions are not substances, but modes.
He was driven towards such ideas by adherence to Hilbert's distinction between real and ideal elements and the corresponding distinction between real and ideal propositions (Hilbert 1926).
Just as ideal thoughts or propositions are types or species of thinking acts (cf. 1921, 7f), so might ideal orders be described as types of orders.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com