Timeline for Probability of two equivalent statements
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Nov 27, 2023 at 15:35 | comment | added | Aksakal | @whuber, agreed, they are mapped to the same set. | |
| Nov 27, 2023 at 15:30 | comment | added | whuber♦ | @Aksakal However, we cannot conclude that the statements A and B are equal. It is only supposed they specify the same set. For instance, let A be the assertion "x is a negative real number and x is the square of a real number" and let B be the assertion "x is a real zero of the exponential function." Each can be shown to imply the other, despite such different formulations. | |
| Nov 27, 2023 at 15:29 | comment | added | Galen | Computing probabilities of events reminds me of stats.stackexchange.com/questions/536049/… | |
| Nov 27, 2023 at 15:27 | comment | added | Aksakal | @whuber, the first thing to say here is that A=B, the rest follows | |
| Nov 27, 2023 at 15:10 | comment | added | whuber♦ | The Axiom of Specification of set theory asserts these two statements determine the same event. Thus, you are asking whether the probability of an event equals itself. Equivalently, you are asking whether the probability of an event depends on how it is specified. I bet you can answer either one of these questions correctly! @Tim Your translation of this question into propositional logic is erroneous. | |
| Nov 27, 2023 at 15:08 | history | reopened | whuber♦ | ||
| Nov 27, 2023 at 14:58 | answer | added | Mathemagician777 | timeline score: 0 | |
| Nov 27, 2023 at 14:58 | history | closed |
User1865345 R Carnell whuber♦ |
Not suitable for this site | |
| Nov 27, 2023 at 14:25 | comment | added | Robin | @Tim: What do you mean exactly with "are 𝐵→𝐴 and 𝐵∧𝐴 the same statement"? If A and B are equivalent, evidently 𝐵→𝐴 is true. I don't understand what you mean, sorry | |
| Nov 27, 2023 at 14:17 | comment | added | Tim | Use logic to answer it yourself are $B \to A$ and $B \land A$ the same statement? en.wikipedia.org/wiki/Boolean_algebra | |
| Nov 27, 2023 at 13:16 | review | Close votes | |||
| Nov 27, 2023 at 14:58 | |||||
| S Nov 27, 2023 at 12:55 | review | First questions | |||
| Nov 27, 2023 at 12:56 | |||||
| S Nov 27, 2023 at 12:55 | history | asked | Robin | CC BY-SA 4.0 |