As for the conversion of contingency propositions (neither necessary nor impossible), Kilwardby notes that while the converted propositions of indefinite (utrumlibet) contingency are of the same type of contingency, the conversion of natural contingency propositions (true about most cases) results in contingency propositions when contingency means possibility proper (not impossible).
The interpretation has it that these natural light propositions are in no way subject to doubt, unlike ordinary clearly and distinctly perceivable truths.
And, in fact, the nabla operator behaves more naturally insofar Theorem 2.13 is a more natural analog of Proposition 2.1 than are the results in the delta difference setting.
In the endpoint case, when p = 1, two natural questions about Proposition 1.2 arise.
Reijndorp adds that iwaku is in talks with the Sleep Cycle App developers to see if they can integrate iwaku as a wake-up light with their natural alarm clock proposition.
As with the monotonicity results presented in Section 2, a comparison of Theorem 3.10 to either Theorem 3.2 or 3.6 demonstrates that in the nabla setting we are able to obtain a convexity-type result that is a much more natural analog of Proposition 3.1.
Hence, a radical feature of King's view is that we speakers of natural languages endow propositions with their truth conditions, as a result of which he calls his account a naturalized account of propositions.
In such contexts, it is more natural to talk proposition-language than state-of-affairs-language. It feels odd (wrong) to say that someone believes a state of affairs, or that states of affairs are true or false.
They see the TOL as a hypothesis composed of three connected propositions: natural selection (and potentially other processes) drives modification, descent occurs with modification, and hierarchical patterns are produced by that process.
In their understanding, we saw "the TOL as a hypothesis composed of three connected propositions: natural selection (and potentially other processes) drives modification, descent occurs with modification, and hierarchical patterns are produced by that process".
The same sensitivity to questions of interpretation is evident in his treatment of propositions in natural philosophy, where he argues that we can meaningfully use propositions containing terms such as 'infinite [infinitum]' and 'point [punctum]' to express actual states of affairs without committing ourselves to the existence of infinite magnitudes or indivisible points.
