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, 21:48, 10 April 2009
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| ===Commentary Note 10.11=== | | ===Commentary Note 10.11=== |
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− | I return to where we were in unpacking the contents of CP 3.73. Peirce remarks that the comma operator can be iterated at will: | + | I return to the point where we left off in unpacking the contents of CP—3.73. Peirce remarks that the comma operator can be iterated at will: |
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| {| align="center" cellspacing="6" width="90%" <!--QUOTE--> | | {| align="center" cellspacing="6" width="90%" <!--QUOTE--> |
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| <p>So:</p> | | <p>So:</p> |
− | | + | |- |
− | : <p>m,,b,r</p>
| + | | align="center" | <math>\mathrm{m},\!,\!\mathrm{b},\!\mathrm{r}</math> |
− | | + | |- |
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| <p>interpreted like</p> | | <p>interpreted like</p> |
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− | : <p> `g`'o'h</p>
| + | | align="center" | <math>\mathfrak{g}\mathit{o}\mathrm{h}</math> |
− | | + | |- |
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| <p>means a man that is a rich individual and is a black that is that rich individual.</p> | | <p>means a man that is a rich individual and is a black that is that rich individual.</p> |
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| <p>But this has no other meaning than:</p> | | <p>But this has no other meaning than:</p> |
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| + | | align="center" | <math>\mathrm{m},\!\mathrm{b},\!\mathrm{r}</math> |
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| + | <p>or a man that is a black that is rich.</p> |
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− | : <p> m,b,r</p>
| + | <p>Thus we see that, after one comma is added, the addition of another does not change the meaning at all, so that whatever has one comma after it must be regarded as having an infinite number.</p> |
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− | <p>or a man that is a black that is rich.</p>
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− | <p>Thus we see that, after one comma is added, the addition of another does not change the meaning at all, so that whatever has one comma after it must be regarded as having an infinite number. (Peirce, CP 3.73).</p> | + | <p>(Peirce, CP 3.73).</p> |
| |} | | |} |
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