Monthly Archives: April 2014

Peirce’s 1870 “Logic Of Relatives” • Comment 11.3

Before I can discuss Peirce’s “number of” function in greater detail I will need to deal with an expositional difficulty that I have been very carefully dancing around all this time, but one that will no longer abide its assigned … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Comment 11.2

NOF Said … Let’s bring together the various things that Peirce has said about the number of function up to this point in the paper. NOF 1 I propose to assign to all logical terms, numbers;  to an absolute term, the number of … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Comment 11.1

Dear Reader, We have reached a suitable place to pause in our reading of Peirce’s text — actually, it’s more like a place to run as fast as we can along a parallel track — where I can pay off … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Selection 11

We continue with §3. Application of the Algebraic Signs to Logic. The Signs for Multiplication (concl.) The conception of multiplication we have adopted is that of the application of one relation to another.  So, a quaternion being the relation of … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Comment 10.12

Potential ambiguities in Peirce’s two versions of the “rich black man” example can be resolved by providing them with explicit graphical markups, as shown in Figures 28 and 29. (28) (29) On the other hand, as the forms of relational composition become … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Comment 10.11

Let us return to the point where we left off unpacking the contents of CP 3.73.  Here Peirce remarks that the comma operator can be iterated at will: In point of fact, since a comma may be added in this way … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Comment 10.10

The last of the three examples involving the composition of triadic relatives with dyadic relatives is shown again in Figure 25. (25) The hypergraph picture of the abstract composition is given in Figure 26. (26) This example illustrates the way that Peirce … Continue reading

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