This might take some time to answer. We need to identify the option that does not undermine the camouflaging proficiency of Cephalopods. Three options have a weakening effect, while one does not. Regarding option 1, we must refer to the third paragraph; if radial muscle movement is challenging, the technique won't be effective, diminishing the overall camouflaging process. Therefore, 1 is not a suitable choice. Iridophores represent the second level of skin, suggesting the others are at the first level. However, the impact of their numbers on the camouflaging process is not clearly stated. Thus, 2 neither strengthens nor weakens the argument. The passage indicates that red, brown, and yellow are reflected, while the others are absorbed. This implies that even green is absorbed, contradicting option 3, which weakens the argument. If the transmission of neural signals is problematic, the entire camouflaging process will be compromised. Therefore, 4 is the most appropriate choice.
For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is:
The given sentence is missing in the paragraph below. Decide where it best fits among the options 1, 2, 3, or 4 indicated in the paragraph.
Sentence: While taste is related to judgment, with thinkers at the time often writing, for example, about “judgments of taste” or using the two terms interchangeably, taste retains a vital link to pleasure, embodiment, and personal specificity that is too often elided in post-Kantian ideas about judgment—a link that Arendt herself was working to restore.
Paragraph: \(\underline{(1)}\) Denneny focused on taste rather than judgment in order to highlight what he believed was a crucial but neglected historical change. \(\underline{(2)}\) Over the course of the seventeenth century and early eighteenth century, across Western Europe, the word taste took on a new extension of meaning, no longer referring specifically to gustatory sensation and the delights of the palate but becoming, for a time, one of the central categories for aesthetic—and ethical—thinking. \(\underline{(3)}\) Tracing the history of taste in Spanish, French, and British aesthetic theory, as Denneny did, also provides a means to recover the compelling and relevant writing of a set of thinkers who have been largely neglected by professional philosophy. \(\underline{(4)}\)