**Fregean Logical Graphs**

*Francesco Bellucci*

**Abstract.**

In â€œGedankengefÃ¼geâ€ Frege says that any two sentences of the form â€œA and Bâ€ and â€œB and Aâ€ have the same sense. In a 1906 letter to Husserl he says that sentences with the same sense should be represented in a perfect notation by one and the same formula. Fregeâ€™s own notation, just like any linear notation for sentential logic, is not perfect in this sense, because in it â€œA and Bâ€ and â€œB and Aâ€ are represented by distinct formulas, as is any pair of logically equivalent compound conditionals. A notation for the sentential calculus that meets Fregeâ€™s worries about conjunction, and indeed about any symmetric relation that there may be occasion to symbolize, is Peirceâ€™s Alpha graphs.