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magnitude

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Journal Article
The Philosophical Review (2021) 130 (3): 385–449.
Published: 01 July 2021
...Desmond Hogan Incongruent counterparts are pairs of objects which cannot be enclosed in the same spatial limits despite an exact similarity in magnitude, proportion, and relative position of their parts. Kant discerns in such objects, whose most familiar example is left and right hands, a “paradox...
FIGURES
Journal Article
The Philosophical Review (2017) 126 (2): 147–190.
Published: 01 April 2017
... for intuition begin to emerge, setting the stage for a reevaluation of the role of intuition in Kant's arithmetic. © 2017 by Cornell University 2017 Kant mathematics intuition number magnitude Kant's claim that mathematical cognition requires intuition is of great importance to his...
Journal Article
The Philosophical Review (2004) 113 (2): 157–201.
Published: 01 April 2004
.... Stein, Howard. 1990 . Eudoxus and Dedekind: On the Ancient Greek Theory of Ratios and Its Relation to Modern Mathematics. Synthese 84 : 163 -211. Sutherland, Daniel. 2004 . The Role of Magnitude in Kant's Critical Philosophy.” Canadian Journal of Philosophy 34 : 411 -42. ____. 2005a...
Journal Article
The Philosophical Review (2020) 129 (2): 302–308.
Published: 01 April 2020
... on subjective epistemic states). The advice has the form “one should assign quantum state ψ to the physical system s ,” and “one should have 0.5 confidence in M ,” where M is some kind of magnitude claim about the physical system s . On Healey's interpretation, quantum theory is about such advice...
Journal Article
The Philosophical Review (2002) 111 (3): 373–416.
Published: 01 July 2002
.... What I see diminishes in magnitude as I retreat from it. 2. The table itself does not diminish in magnitude as I retreat from it. 3. Therefore, what I see is not the table itself (but only an image or idea). In his chapter in the Essays on the Intellectual Powers of Man...
Journal Article
The Philosophical Review (2002) 111 (2): 311–313.
Published: 01 April 2002
..., to the individual members of those species. Burley also appeals to supposition theory where we might appeal to quantification theory. For instance, he uses it to reject the fallacious inference "Than every magni- tude there is some magnitude less; therefore, there is some magnitude less than every magnitude...
Journal Article
The Philosophical Review (2018) 127 (3): 426–431.
Published: 01 July 2018
... inherently tied to the chemical composition of the media it processes (146–47). But a sieve responds only to some dimensions of spatiotemporal variance (lengths or volumes) and not others (the chemical composition of sorted granules); its abstract rule to sort by magnitude may be instantiated in different...
Journal Article
The Philosophical Review (2014) 123 (3): 342–354.
Published: 01 July 2014
... to be measurable magnitudes. And Kant needs to give this foundation for Newton's physics without relying either on the mechanism of Descartes and his followers or on Newton's absolute space and time. Second, Friedman argues that “the general dynamical theory of matter on which Kant builds a foundation for Newton's...
Journal Article
The Philosophical Review (2015) 124 (1): 1–58.
Published: 01 January 2015
... claim that space as a whole is the result of a synthesis, since space is described by Kant as not being a concept, in particular because it is infinite in magnitude (A25/B39–40). That is to say, the content of a concept is characterized by Kant in terms of marks that are related to it as partial...
Journal Article
The Philosophical Review (2004) 113 (3): 438–441.
Published: 01 July 2004
... the legitimacy of PIR, particularly when it was applied in the absence of any evidence whatsoever (as in Laplace’s derivation of the “rule of succession John Venn even argued that PIR is logically incon- sistent. If we know nothing about the value of a continuous magnitude x, except that it lies between 0...
Journal Article
The Philosophical Review (2022) 131 (1): 107–111.
Published: 01 January 2022
... abilities to be permitted to bear the responsibility for their actions before the judgment seat of justice?’” ( UNH 1:365–66; KCF 11–12). Chapter 2 addresses Kant’s thoughts on metaphysics in the early 1760s, in the Prize Essay (1764), Negative Magnitudes (1764), the Only Possible Ground...
Journal Article
The Philosophical Review (2016) 125 (2): 298–302.
Published: 01 April 2016
..., prefabricated to stand all at once before the mind. Geometrical, arithmetical, and infinitesimal notions of magnitude proliferated, as hopes for a unitary idea of mathematical quantity waned. Efforts were made to corral the aggregate numbers of Heine, Dedekind, and Cantor into a single arithmetic continuum, set...
Journal Article
The Philosophical Review (2003) 112 (2): 215–245.
Published: 01 April 2003
... temporally biased, investing short-term benefits and sacri- fices with normative significance out of proportion to their actual magnitude and discounting distant benefits and harms out of propor- tion to their actual magnitude. This sort of temporal bias is sometimes thought to play a major role...
Journal Article
The Philosophical Review (2011) 120 (3): 423–446.
Published: 01 July 2011
... magnitude they come with (124 and on). And the considerations Schroeder mentions here are indeed independent of his Hypothetical- ism. To that extent, an independent rationale for rejecting Proportion- alism is indeed provided. But in our dialectical context, we need more. We need to avoid what we can...
Journal Article
The Philosophical Review (2019) 128 (3): 293–336.
Published: 01 July 2019
... reading: There is no Body without colour, nor no Colour without body; for colour, figure, place, magnitude, and body, are all but one thing, without any separation or abstraction from each other. (BW 43; emphasis added) As for Colour , it is the same with Body: for surely, there is no such thing...
Journal Article
The Philosophical Review (2005) 114 (4): 551–553.
Published: 01 October 2005
... of such valuational magnitudes and for its consequent lack of isomorphism with our pre-theoretical comparisons of freedom (we often think a person is freer if the particular things she is free to do are more valuable). My own view was, and remains, that degrees of overall freedom should reflect freedom’s non...
Journal Article
The Philosophical Review (2019) 128 (3): 363–366.
Published: 01 July 2019
... a feature by (1) instantiating that feature and (2) referring to that feature in virtue of instantiating it. Thus, a paint color card exemplifies a given color of paint, the ideal gas law exemplifies relationships in a set of magnitudes that can be described mathematically, and the Vietnam War Memorial...
Journal Article
The Philosophical Review (2020) 129 (1): 144–149.
Published: 01 January 2020
... of technical terms. ‘magnitudes of metaphysical inferences’: a measure of the degree to which a metaphysical inference (an inference with a significant a priori dimension) is continuous with empirical inquiry (67) ‘epistemic risk’: a proposition is epistemically risky when we cannot judge with certainty...
Journal Article
The Philosophical Review (2003) 112 (2): 270–273.
Published: 01 April 2003
... homogeneous plenum and motion. This powerful argument appears more than once and it seems to be the argument Leibniz has in mind when he writes, “For if these qualities [magnitude, figure, and motion] cannot be derived from the definition of body, they obviously can- not exist in bodies left to themselves...
Journal Article
The Philosophical Review (2018) 127 (3): 399–403.
Published: 01 July 2018
... containment-theoretical means, including that they are “made on the strength of a singular, intuitive (diagrammatic) representation” (240), that they can express the “equivalence” of magnitudes which have nevertheless been “determined” in conceptually nonidentical ways (see 248–54), that they eventually lead...