2026-09-09
Agenda
Agenda
The word ‘same’ is used to express identity. But it is ambiguous, and so is the word ‘identical’.1
What are the two possible meanings of ‘same’ or ‘identical’ here?
Agenda
The puzzles we are going to be thinking about all have to do with numerical identity over time. What makes the kid in the photo on the left the same person as the adult in the photo on the right?
You might think: “Wait a minute! I’m not the same as that kid in the photo. We’re different in all sorts of ways. In fact, I’m changing every second, so I’m not even the same from one moment to the next. I’m not even the same person as the person who started this sentence!”
Agenda
We are looking for a way to fill in the blank in the following template:
That is, we are looking for a condition that is both necessary and sufficient for being the same person at two different times.
This is a logical phrase that is often used when given definitions, or when attempting to analyze something. For example:
The condition that occurs on the right-hand side of ‘if and only if’ is a necessary and sufficient condition for being a rectangle.
The first says that being a four-sided polygon with equal interior angles is enough to make \(S\) a rectangle.
The second says that it is required for \(S\) to be a rectangle.
Here is an example of a sufficient condition for being a rectangle that is not a necessary condition:
To be a rectangle, being a square is enough, but not required.
rectangles
squares
rectangles
squares
Here is an example of a necessary condition that is not sufficient:
Being four-sided is required, but not enough.
rectangles
four-sided polygons
four-sided polygons
rectangles
Finally, a feature that is both required and enough.
rectangles
four-sided polygons with equal interior angles
four-sided polygons with equal interior angles
rectangles
Can we come up with a condition that is both required and enough?
same person
proposed condition
proposed condition
same person
Agenda
Objections?
Objections?
Agenda
Physical accounts of identity focus on physical features:
Psychological accounts instead focus on psychological features:
Objections?
Imagine each circle contains all the memories, perceptual experiences, emotions, etc., of \(A\) at \(t\) and \(B\) at \(t^*\). The account says that they are the same person when they share most of these features:
\(A\) at \(t\)
\(B\) at \(t^*\)
Objections?
\(A\) at \(t\)
\(B\) at \(t^*\)
\(A\) at \(t\)
\(P_1\) at \(t_1\)
\(P_2\) at \(t_2\)
\(P_3\) at \(t_3\)
\(P_4\) at \(t_4\)
\(B\) at \(t^*\)
Agenda
Abby and Brittany Hensel
The Conjoined Twins Argument
Anatomy of the Abby and Brittany’s Body
Objection:
CONJOINED DRAMA
Abby is dating Arie. Brittany is secretly in love with Arie and has always been jealous of their relationship. One night, while Abby is sleeping, Brittany confesses her feelings to Arie, and Arie kisses her. Later, when Abby finds out, she strangles Brittany.
Argument
Freaky Friday
On Friday morning, something happens. The person in Anna’s body looks in the mirror in disbelief. “Why,” she thinks to herself, “am I in my teenage daughter’s body?” Meanwhile, the person in Tess’s body looks in the mirror in horror. “Why,” she thinks to herself, “am I in my mom’s middle-aged body?” Predictable hijinks ensue.
There are different ways to fill in how this happened. It could be magic. It could be the result of a “neural state” off-loading and up-loading device. It could be the result of a literal brain transplant.
The Body Swap Argument
Agenda
TOTAL AMNESIA
Jiwoo is stranded on a deserted island. Adding injury to insult, a coconut fell on Jiwoo’s head at noon today, instantly resulting in total amnesia. She can’t remember how she got on the island or anything else about her past. She can’t even remember her own name.
Argument
Example
Minjun is stranded on a deserted island. Adding injury to insult, a coconut fell on Minjun’s head at noon today, temporarily knocking him unconscious. While unconscious, he is not dreaming, nor does he have any thoughts or experiences or any physical sensations whatsoever. He is completely blacked out. When he finally awakens hours later, it will feel as if no time has passed.
The Blackout Argument
DOUBLE TROUBLE
Rachel uploads JoJo’s neural states to Chad’s brain, and also accidentally uploads them to Alex’s brain as well. As a result, both the person with Chad’s original body and the person with Alex’s original body wake up and say ‘My name is JoJo’. Both can tell you all about JoJo’s past; neither can tell you anything about Chad or Alex’s past. She also obliterates JoJo’s original body.
The Fission Argument
Agenda
Two interpretations: