Identity

Question 1

If b=c then…?

Answer 1

if b=c then whatever is true of b is also true of c

Question 2

a=a

Answer 2

is never false

Question 3

=Elim (indiscernibility of identicals)

Answer 3

if b=c, then whatever holds of b also holds of c.

Question 4

=intro(reflectivity of identity)

Answer 4

sentences of the form b=b are always true

Question 5

symmetry of identity

Answer 5

if b=c then c=b

Question 6

transitivity of identity

Answer 6

if a=b and b=c, then a=c.