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Ludwig Wittgenstein

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What I hold fast to is not one proposition but a nest of propositions.

 
Ludwig Wittgenstein

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To make our position clearer, we may formulate it in another way. Let us call a proposition which records an actual or possible observation an experiential proposition. Then we may say that it is the mark of a genuine factual proposition, not that it should be equivalent to an experiential proposition, or any finite number of experiential propositions, but simply that some experiential propositions can be deduced from it in conjunction with certain other premises without being deducible from those other premises alone.

 
Alfred Jules Ayer
 

Propositions are truth-functions of elementary propositions. (An elementary proposition is a truth-function of itself.) (5)

 
Ludwig Wittgenstein
 

When I have asked thinking men what reason they had to believe that every fact in the universe is precisely determined by law, the first answer has usually been that the proposition is a "presupposition " or postulate of scientific reasoning. Well, if that is the best that can be said for it, the belief is doomed. Suppose it be " postulated " : that does not make it true, nor so much as afford the slightest rational motive for yielding it any credence. It is as if a man should come to borrow money, and when asked for his security, should reply he "postulated " the loan. To "postulate" a proposition is no more than to hope it is true. There are, indeed, practical emergencies in which we act upon assumptions of certain propositions as true, because if they are not so, it can make no difference how we act. But all such propositions I take to be hypotheses of individual facts. For it is manifest that no universal principle can in its universality be compromised in a special case or can be requisite for the validity of any ordinary inference.

 
Charles Sanders Peirce
 

I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propositions, which one could neither prove nor dispose of.

 
Carl Friedrich Gauss
 

The election's coming just in a couple of weeks, and I hope you're praying about your vote. One of the propositions, of course, that I want to mention is Proposition 8, which is the proposition that had to be instituted because the courts threw out the will of the people. And a court of four guys actually voted to change a definition of marriage that has been going for 5,000 years.
Now let me say this really clearly: we support Proposition 8 — and if you believe what the Bible says about marriage, you need to support Proposition 8. I never support a candidate, but on moral issues I come out very clear.
This is one thing, friends, that all politicians tend to agree on. Both John McCain and Barack Obama, I flat out asked them "what is your definition of marriage?" and they both said the same thing. It is the traditional, historic, universal definition of marriage: one man and one woman, for life. … There are about 2% of Americans are homosexual or gay, lesbian people. We should not let 2% of the population determine — to change a definition of marriage that has been supported by every single culture, and every single religion, for 5,000 years. … So I urge you to support Proposition 8, and pass that word on. I'm going to be sending out a note to pastors on what I believe about this, but everybody knows what I believe about it, and they heard me at the civil forum when I asked both Obama and McCain on their views.

 
Rick Warren
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