[CG] Re: Functional Logic • Inquiry and Analogy

Functional Logic • Inquiry and Analogy • 13 • https://inquiryintoinquiry.com/2023/07/10/functional-logic-inquiry-and-anal… Inquiry and Analogy • Higher Order Propositional Expressions • https://oeis.org/wiki/Functional_Logic_%E2%80%A2_Inquiry_and_Analogy#HOPE Higher Order Propositions and Logical Operators (n = 2) • https://oeis.org/wiki/Functional_Logic_%E2%80%A2_Inquiry_and_Analogy#HOPE_2 All, There are 2¹⁶ = 65536 measures of type m : (B² → B) → B. Table 13 introduces the first 24 of those measures in the fashion of higher order truth table I used before. The column headed m_j shows the values of the measure m_j on each of the propositions f_i : B² → B, for i = 0 to 23, with blank entries in the Table being optional for values of zero. The arrangement of measures which continues according to the plan indicated here is referred to as the “standard ordering” of those measures. In this scheme of things, the index j of the measure m_j is the decimal equivalent of the bit string associated with m_j’s functional values, which are obtained in turn by reading the j-th column of binary digits in the Table as the corresponding range of boolean values, taking them up in the order from bottom to top. Table 13. Higher Order Propositions (n = 2) • https://inquiryintoinquiry.files.wordpress.com/2022/05/higher-order-proposi… Regards, Jon