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Full Idea
In 'Caesar is dead, and Brutus is alive' ...there are here two distinct assertions; and we might as well call a street a complex house, as these two propositions a complex proposition.
Gist of Idea
Combining two distinct assertions does not necessarily lead to a single 'complex proposition'
Source
John Stuart Mill (System of Logic [1843], 1.04.3)
Book Ref
Mill,John Stuart: 'System of Logic (9th ed, 2 vols)' [Longmans, Green etc 1875], p.90
A Reaction
Arthur Prior, in his article on 'tonk', cites this to claim that the mere account of the and-introduction rule does not guarantee the existence of any conjunctive proposition that can result from it. Mill says you are adding a third proposition.
| 16967 | 'Are Coriscus and Callias at home?' sounds like a single question, but it isn't [Aristotle] |
| 17895 | Combining two distinct assertions does not necessarily lead to a single 'complex proposition' [Mill] |
| 18718 | Saying 'and' has meaning is just saying it works in a sentence [Wittgenstein] |
| 12597 | I might accept P and Q as likely, but reject P-and-Q as unlikely [Harman] |
| 12664 | A truth-table, not inferential role, defines 'and' [Fodor] |
| 12010 | Is the meaning of 'and' given by its truth table, or by its introduction and elimination rules? [Forbes,G] |
| 23628 | The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack] |