Monthly Archives: January 2014

Peirce’s 1870 “Logic Of Relatives” • Selection 4

Here is the next part of §3. Application of the Algebraic Signs to Logic. The Signs for Addition The sign of addition is taken by Boole so that denotes everything denoted by and, besides, everything denoted by Thus denotes all … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Selection 3

We move on to the next part of §3. Application of the Algebraic Signs to Logic. The Signs of Inclusion, Equality, Etc. I shall follow Boole in taking the sign of equality to signify identity.   Thus, if denotes the … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Selection 2

We continue with §3. Application of the Algebraic Signs to Logic. Numbers Corresponding to Letters I propose to use the term “universe” to denote that class of individuals about which alone the whole discourse is understood to run. The universe, … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Selection 1

We pick up the text at §3. Application of the Algebraic Signs to Logic. Use of the Letters The letters of the alphabet will denote logical signs. Now logical terms are of three grand classes. The first embraces those whose … Continue reading

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Peirce’s 1870 “Logic Of Relatives” • Preliminaries

I need to return to my study of Peirce’s 1870 Logic Of Relatives, and I thought it might be more pleasant to do that on my blog than to hermit away on the wiki where I last left off. Peirce’s … Continue reading

Posted in C.S. Peirce, Logic, Logic of Relatives, Mathematics, Peirce, Relation Theory, Semiotics | Tagged , , , , , , | 17 Comments

All Process, No Paradox : 6

Re: R.J. Lipton • Anti-Social Networks Re: Lou Kauffman • Iterants, Imaginaries, Matrices Comments I made elsewhere about computer science and social networks have a connection with the work in progress on this thread, so it may gain a march … Continue reading

Posted in Algorithms, Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Differential Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Lou Kauffman, Mathematics, Painted Cacti, Paradox, Peirce, Process, Process Thinking, Propositional Calculus, Spencer Brown, Systems Theory, Time | Tagged , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

All Process, No Paradox : 5

In the midst of this strife, whereat the halls of Ilúvatar shook and a tremor ran out into the silences yet unmoved, Ilúvatar arose a third time, and his face was terrible to behold.  Then he raised up both his … Continue reading

Posted in Abstraction, C.S. Peirce, Conceptual Graphs, Cybernetics, Differential Logic, Laws of Form, Logic, Logical Graphs, Mathematics, Paradox, Peirce, Process, Process Thinking, Spencer Brown, Systems Theory, Time, Tolkien | Tagged , , , , , , , , , , , , , , , , | 1 Comment

All Process, No Paradox : 4

Thus began the Days of the Bliss of Valinor; and thus began also the Count of Time. Tolkien • Quenta Silmarillion While looking for something else on the web, I ran across an old note I had written in reply … Continue reading

Posted in Abstraction, C.S. Peirce, Conceptual Graphs, Cybernetics, Differential Logic, Laws of Form, Logic, Logical Graphs, Mathematics, Paradox, Peirce, Process, Process Thinking, Spencer Brown, Systems Theory, Time, Tolkien | Tagged , , , , , , , , , , , , , , , , | 1 Comment

All Process, No Paradox : 3

Consider what effects that might conceivably have practical bearings you conceive the objects of your conception to have.  Then, your conception of those effects is the whole of your conception of the object. Charles S. Peirce • “Issues of Pragmaticism” … Continue reading

Posted in Abstraction, C.S. Peirce, Cybernetics, Differential Logic, Laws of Form, Logic, Logical Graphs, Mathematics, Paradox, Peirce, Process, Process Thinking, Spencer Brown, Systems Theory, Tertium Quid, Time, Tolkien | Tagged , , , , , , , , , , , , , , , , | 3 Comments

All Process, No Paradox : 2

These are the forms of time, which imitates eternity and revolves according to a law of number. Plato • Timaeus Re: Lou Kauffman • Iterants, Imaginaries, Matrices As serendipity would have it, Lou Kauffman, who knows a lot about the … Continue reading

Posted in Abstraction, C.S. Peirce, Cybernetics, Differential Logic, Laws of Form, Logic, Logical Graphs, Lou Kauffman, Mathematics, Paradox, Peirce, Plato, Process, Process Thinking, Spencer Brown, Systems Theory, Timaeus, Time | Tagged , , , , , , , , , , , , , , , , , | 3 Comments