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Directory:Jon Awbrey/Papers/Information = Comprehension × Extension (view source)
Revision as of 19:40, 9 November 2016
, 19:40, 9 November 2016update
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| [[File:ICE Comment 1 Alt 3.jpg|center]]
| [[File:ICE Figure 1.jpg|center]]
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| height="20px" | <math>\text{Figure 1.} ~~ \text{Conjunctive Term}~ z, ~\text{Taken as Predicate}\!</math>
| height="20px" | <math>\text{Figure 1.} ~~ \text{Conjunctive Term}~ z, ~\text{Taken as Predicate}\!</math>
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| [[File:ICE Comment 2.jpg|center]]
| [[File:ICE Figure 2.jpg|center]]
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| height="20px" | <math>\text{Figure 2.} ~~ \text{Disjunctive Term}~ u, ~\text{Taken as Subject}\!</math>
| height="20px" | <math>\text{Figure 2.} ~~ \text{Disjunctive Term}~ u, ~\text{Taken as Subject}\!</math>
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| [[File:ICE Comment 3a.jpg|center]]
| [[File:ICE Figure 3.jpg|center]]
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| height="20px" | <math>\text{Figure 3.} ~~ \text{Conjunctive Predicate}~ z, ~\text{Abduction of Case}~ \texttt{(} x \texttt{(} y \texttt{))}\!</math>
| height="20px" | <math>\text{Figure 3.} ~~ \text{Conjunctive Predicate}~ z, ~\text{Abduction of Case}~ \texttt{(} x \texttt{(} y \texttt{))}\!</math>
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| [[File:ICE Comment 3b.jpg|center]]
| [[File:ICE Figure 4.jpg|center]]
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| height="20px" | <math>\text{Figure 4.} ~~ \text{Disjunctive Subject}~ u, ~\text{Induction of Rule}~ \texttt{(} v \texttt{(} w \texttt{))}\!</math>
| height="20px" | <math>\text{Figure 4.} ~~ \text{Disjunctive Subject}~ u, ~\text{Induction of Rule}~ \texttt{(} v \texttt{(} w \texttt{))}\!</math>
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{| align="center" border="0" cellspacing="10" style="text-align:center; width:100%"
| [[File:ICE Comment 1 Alt 3.jpg|center]]
| [[File:ICE Figure 1.jpg|center]]
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| height="20px" | <math>\text{Figure 1.} ~~ \text{Conjunctive Term}~ z, ~\text{Taken as Predicate}\!</math>
| height="20px" | <math>\text{Figure 1.} ~~ \text{Conjunctive Term}~ z, ~\text{Taken as Predicate}\!</math>
{| align="center" border="0" cellspacing="10" style="text-align:center; width:100%"
{| align="center" border="0" cellspacing="10" style="text-align:center; width:100%"
| [[File:ICE Comment 1 Alt 3.jpg|center]]
| [[File:ICE Figure 1.jpg|center]]
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| height="20px" | <math>\text{Figure 1.} ~~ \text{Conjunctive Term}~ z, ~\text{Taken as Predicate}\!</math>
| height="20px" | <math>\text{Figure 1.} ~~ \text{Conjunctive Term}~ z, ~\text{Taken as Predicate}\!</math>
Viewed in the light of the above analysis, Peirce's example of abductive reasoning exhibits an especially strong form of inference, almost deductive in character. Do all abductive arguments take this form, or may there be weaker styles of abductive reasoning that enjoy their own levels of plausibility? That must remain an open question at this point.
Viewed in the light of the above analysis, Peirce's example of abductive reasoning exhibits an especially strong form of inference, almost deductive in character. Do all abductive arguments take this form, or may there be weaker styles of abductive reasoning that enjoy their own levels of plausibility? That must remain an open question at this point.
===Discussion 6===
Figure 2 shows the implication ordering of logical terms in the form of a ''lattice diagram''.
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| [[File:ICE Figure 2.jpg|center]]
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| height="20px" | <math>\text{Figure 2.} ~~ \text{Disjunctive Term}~ u, ~\text{Taken as Subject}\!</math>
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===Selection 7===
===Selection 7===
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===Discussion 6===
===Discussion 7===
If you dreamed that this inquiry had come full circle then I inform you of what you already know, that there are always greater circles. I revert to Peirce's Harvard University Lectures of the year before, to pick up additional background material and a bit more motivation.
If you dreamed that this inquiry had come full circle then I inform you of what you already know, that there are always greater circles. I revert to Peirce's Harvard University Lectures of the year before, to pick up additional background material and a bit more motivation.