Proposition 1 says nothing about the rate of convergence of the fraction.
For example, consider any singular proposition about Socrates, e.g., the proposition that Socrates was a philosopher.
The infinitist accepts the need to be able to supply non-circular justification for believing what we do, but argues that given the complexity of the human mind and its capacity to entertain and justifiably believe an infinite number of propositions, there is nothing vicious about the relevant regresses we face.
Prior to this proposition [ 6], nothing was known about phylogenetic relationships among these 18 incertae sedis genera, except for two studies involving Caiapobrycon, Creagrutus and Piabina [ 15, 16].
"I fundamentally, absolutely reject the proposition that there was nothing that could have been done on orbit".
"The first proposition about America, before you talk about anything else, is Henry James' remark that it is more like a world than a country – the Mississippi has nothing in common with Massachusetts".
And even when it is of propositions, there is nothing special about how he knows a proposition's shift from truth to falsity, as distinguished from any other form of change.
This, together with a fine-grained principle of individuation for propositions (asserting, for one thing, that if the classes m and n of propositions differ, then any proposition about m will differ from any proposition about n) leads to contradiction.
For, just because it is restricted to certain meta-linguistic claims, EC has only limited significance for skepticism: from the fact that, in non-skeptical contexts, we can use 'S knows that p' to express propositions which are true, nothing follows about whether we know anything a question which we can and do wonder about in philosophical contexts.
Eureka is Poe's attempt at explaining the universe, using his general proposition "Because Nothing was, therefore All Things are".
Put this way, the view that propositions are structured is purely a metaphysical thesis about what propositions are like and entails nothing about the relation between a sentence and the proposition it expresses.
