 As  Table 3  shows, there is now a third truth value ½ (for “null” or “void” or “indeterminate”) beyond the classical values 1 (for “true”) and 0 (for “false”). This is why these logics are called trivalent. The conditional is no longer classically valued for classical input. Although Reichenbach and de Finetti considered the interplay of this conditional with other trivalent connectives, they did not investigate the logics resulting from that choice. Investigations of logics resulting from de Finetti’s table spread in a scattered way, often oblivious of the work of Reichenbach and de Finetti. One path was paved by remarks due to Quine (1950), crediting the work of Ph. Rhinelander on the idea that the assertion of a sentence of the form “if \(A\) then \(C\)” is commonly felt “less as the assertion of a conditional than as a conditional assertion of the consequent” (see Jeffrey 1963; Cooper 1968; Belnap 1970, 1973; Manor 1975; Farrell 1979, 1986; Olkhovikov 2002; Huitink 2008). This view is known more broadly as the suppositional view (Adams 1975; Edgington 1995). Another line of work was pursued in connection with algebraic treatments of probability, much in the spirit of de Finetti’s original work, who viewed trivalence as a way of representing the notion of conditional probability more qualitatively (see Schay 1968; Calabrese 1991; Dubois &amp; Prade 1994; McDermott 1996; Milne 1997; Cantwell 2008; Rothschild 2014; Lassiter 2020).