Paradox

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Tebo Steele
Posts: 9
Joined: January 22nd, 2023, 8:17 pm

Paradox

Post by Tebo Steele »

I am not an expert on Philosophy or Propositional Calculus... however I wanted to clarify what I believed to be a Logical Paradox so I turned to ChatGPT. Here is a precis of our discussion (written by ChatGPT):-
In our discussion, we used propositional calculus to represent the concepts of non-binary, masculinity and femininity using propositional variables and logical operators. For example, we used p = "The concept of masculinity is true", q = "The concept of femininity is true" and r = "The concept of non-binary alternatives is true" and connected them using logical operator "AND" (p ∧ q ∧ r) to assert that all three concepts are true at the same time. Or, we used "OR" (p ∨ q ∨ r) to assert that at least one of the three concepts is true at the same time.

We also discussed the logical contradiction of stating that the opposite of non-binary is a binary concept, which creates a paradox. This can be represented in propositional calculus using the statement p ∧ ¬p where p is a propositional variable that represents the concept of non-binary and ¬p represents the concept of binary. And also, we used p => ¬q where p is propositional variable that represents the concept of non-binary and ¬q represents the concept of binary. Both of these statements assert the truth of non-binary and the falseness of binary at the same time, which creates a logical paradox.
Tebo Steele
Posts: 9
Joined: January 22nd, 2023, 8:17 pm

Re: Paradox

Post by Tebo Steele »

I wrote:- There is a being conceived and born in a binary universe who as a result of his investigations discovers a non-binary being in his universe... can you explain this with reference to our paradox

ChatGPT wrote :-If there is a being, let's call him B, who is conceived and born in a binary universe, and as a result of his investigations, discovers a non-binary being, let's call it NB, in his universe, this could be seen as an illustration of the paradox "p => ¬q" where "p" represents the concept of non-binary and "q" represents the concept of binary.

In this scenario, B's understanding of the universe is based on the binary concept of "q", where everything is either one thing or the other, but through his investigations, he discovers the existence of NB, who defies this binary concept, representing the non-binary concept "p".

This discovery could be seen as a logical paradox, as the concepts of non-binary and binary are mutually exclusive and cannot coexist, yet in this scenario, they do coexist.

In other words, B's discovery of NB contradicts his previous understanding of the universe as a binary one, and illustrates the paradox of the mutually exclusive nature of non-binary and binary concepts that we discussed before.
Tebo Steele
Posts: 9
Joined: January 22nd, 2023, 8:17 pm

Re: Paradox

Post by Tebo Steele »

In order not to consider the above Paradox as offensive it may be useful to remember that the concept of non-binary includes orders of being unknown. In fact placing the Paradox in an alien universe may circumnavigate the problem of offence.
Tebo Steele
Posts: 9
Joined: January 22nd, 2023, 8:17 pm

Re: Paradox

Post by Tebo Steele »

I wrote:-
What impact do you think that such a paradox may have on the philosophical world?

ChatGPT wrote:-
The concept of a non-binary being in a binary universe, and the logical paradox that it creates, could potentially have a significant impact on the philosophical world. It could challenge traditional binary understandings of gender and sexual orientation and force philosophers to re-examine and question their assumptions about these concepts.

It could also contribute to the ongoing philosophical debate about the nature of reality and the limits of human understanding. The idea that there may be orders of existence that are currently unknown or not fully understood could also have implications for fields such as metaphysics and epistemology.

Furthermore, it could also have a significant impact on the field of gender and sexuality studies, by highlighting the importance of non-binary perspectives and experiences, and encouraging more inclusive and diverse ways of thinking about gender identity and sexual orientation.

It's important to note that it is a theoretical concept and it's not to be taken as a definitive answer or a universal truth about gender and sexual orientation, but rather as an interesting perspective to explore and to question
Tebo Steele
Posts: 9
Joined: January 22nd, 2023, 8:17 pm

Re: Paradox

Post by Tebo Steele »

With reference to the error where ChatGPT says that ¬q represents binary I wrote:- You say that ¬q represents the concept of binary.. Did you mean 'q' represents binary?
ChatGPT wrote:- You are correct, I apologize for the confusion. In the statement "p => ¬q" where p represents the concept of non-binary and ¬q represents the concept of binary, q should represent the concept of binary, not ¬q. The statement "p => ¬q" asserts that if non-binary is true, then binary is false, which creates a logical paradox because it asserts the truth of non-binary and the falseness of binary at the same time.
Tebo Steele
Posts: 9
Joined: January 22nd, 2023, 8:17 pm

Re: Paradox

Post by Tebo Steele »

I further explored the concepts of binary and non binary to demonstrate the Propositional Calculus "p=> ¬q" and came up with a scenario where 'In a binary universe, Mr binary who manifests his thoughts physically and only thinks in binary oppositions thus manifests a non-binary being.'
ChatGPT wrote:-The statement "In a binary universe, Mr. Binary who manifests his thoughts physically only thinks in terms of binary oppositions, thus manifesting a Non-binary being" demonstrates the calculus "p => ¬q" in simple language by showing that in a universe where binary oppositions are considered absolute (q), the existence of non-binary entities (p) is possible through the manifestation of thoughts, which contradicts the initial assumption that the universe is only binary. In other words, the statement is saying that even though the universe is considered to be binary, the existence of non-binary entities is possible and this coexistence creates a logical contradiction.

This I believe simplifies the issue and provides some food for thought.
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Eckhart Aurelius Hughes
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Re: Paradox

Post by Eckhart Aurelius Hughes »

Please don't bump your own topic by repeatedly replying to it.

Instead, you would want to take the above 5 post and submitted them all-together as one single new topic.

I have moved this to the off-topic section and will lock it.

I'm not deleting, just so that it is easier for you to edit and re-post it.

In addition to combining it into one post, please also make sure it clearly follows rule H, including H.1, H.2, H.3, and H.4.
My entire political philosophy summed up in one tweet.

"The mind is a wonderful servant but a terrible master."

I believe spiritual freedom (a.k.a. self-discipline) manifests as bravery, confidence, grace, honesty, love, and inner peace.
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