In Black’s thesis relating to the Identity of Indiscernibles, one of the dialogue participants
refers to the symmetrical universe as an example of two objects (“a” and “b”) and whether one
of them have distinct qualities, that the other doesn’t have. The principle states, “For any x and y,
if x and y have all the same properties, then x is identical to y.” The argument between “A” and
“B” in the thesis highlights whether these two objects will be distinctive enough to prove which
Principle false.
In the argument, the dialogue participants discuss the subject of a symmetrical universe.
This subject of the universe highlights the principle that the world could contain two sets objects
with both sets being identical to the other. …show more content…
Such examples include A arguing that object “a” has a
distinctive property that object “b” lacks, in other words, “a” and “b” are not identical. This leads
participant B to argue, “a is different from b tells me nothing” (pg. 154); B’s reasoning is simply
that A is ambiguously implying that “a is a.” Concerning the topic of the symmetrical universe,
participant A describes a universe where identical objects with both similar in size and shape.
A’s theory induces the principle that the two objects could be statistically distinct,
despite being identical. A describes how in this world with two spheres, with no measuring
devices to differentiate between the two, the two spheres will be identical, therefore claiming that
the principle is true. B’s responds to this argument, by visualizing a universe with the same two objects and
allowing rulers in the equation. In this equation, the universe is symmetrically divided where
everything has its own “mirror image.” B states, “….everything that happened at any place an
equal distance on the opposite side of the center of symmetry” (pg. 161). The universe
refers to the symmetrical universe as an example of two objects (“a” and “b”) and whether one
of them have distinct qualities, that the other doesn’t have. The principle states, “For any x and y,
if x and y have all the same properties, then x is identical to y.” The argument between “A” and
“B” in the thesis highlights whether these two objects will be distinctive enough to prove which
Principle false.
In the argument, the dialogue participants discuss the subject of a symmetrical universe.
This subject of the universe highlights the principle that the world could contain two sets objects
with both sets being identical to the other. …show more content…
Such examples include A arguing that object “a” has a
distinctive property that object “b” lacks, in other words, “a” and “b” are not identical. This leads
participant B to argue, “a is different from b tells me nothing” (pg. 154); B’s reasoning is simply
that A is ambiguously implying that “a is a.” Concerning the topic of the symmetrical universe,
participant A describes a universe where identical objects with both similar in size and shape.
A’s theory induces the principle that the two objects could be statistically distinct,
despite being identical. A describes how in this world with two spheres, with no measuring
devices to differentiate between the two, the two spheres will be identical, therefore claiming that
the principle is true. B’s responds to this argument, by visualizing a universe with the same two objects and
allowing rulers in the equation. In this equation, the universe is symmetrically divided where
everything has its own “mirror image.” B states, “….everything that happened at any place an
equal distance on the opposite side of the center of symmetry” (pg. 161). The universe