Tool · Preview of Chapter 3

Truth table refresher

The five connectives of SL are defined by their truth tables. These are also what the symbolization checker uses to show you where an answer goes wrong, so a quick warm-up pays off.

Connective lab

Flip P and Q and watch every connective respond.

The characteristic tables

Row order. The book lists rows so the first sentence letter changes slowest, starting with T. With letters A and B the rows go TT, TF, FT, FF. With n letters there are 2n rows.

Fill in the table

Work out the column for the whole sentence. Start from the inside: the smallest compounds first, the main connective last.

Generator

Type any sentence to see its full table, with a column for each compound part. The shaded column is the main connective.