Of the 16 units 13 are input units. They control the setup of the machine so that it can solve a problem. Of the 13 input units, those that have the most to do with taking in the problem are shown in [Table 12].

Table 12

UnitName of
Switches
Mark Kind of
Switch
Switch Settings
3StatementV₁ to
V₁₂
DialStatements 1 to 12 or
constant T or F
2Statement
denial
~SnapAffirmative (down)
or negative (up)
4Connectivek₁ to
k₁₁
Dial∧ (and),
∨ (or),
▲ (if-then),
▼ (if and only if)
8Connective
denial
~SnapAffirmative (down) or
negative (up)
5AntecedentA₁ to
A₁₁
DialV or various k’s
6ConsequentC₁ to
C₁₁
DialV or various k’s
7StopS₁ to
S₁₁
SnapNot connected (down)
or connected (up)

The first step in putting a problem on the machine is to express the whole problem as a single compound statement that we want to know the truth or falsity of. We express the single compound statement in a form such as the following:

V k V k V k V k V k V k V k V k V k V k V k V

where each V represents a statement, each k represents a connective, and we know the grouping, or in other words, we know the antecedent and consequent of each connective.

For example, let us choose a problem with an obvious answer:

Problem. Given: statement 1 is true; and if statement 1 is true, then statement 2 is true; and if statement 2 is true, then statement 3 is true; and if statement 3 is true, then statement 4 is true. Is statement 4 true?

How do we express this whole problem in a form that will go on the machine? We express the whole problem as a single compound statement that we want to know the truth or falsity of:

If [1 and (if 1 then 2) and (if 2 then 3) and (if 3 then 4)], then 4