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Weisingerlean Logic is a branch of mathematical logic that extends beyond the binary values of traditional Boolean logic ("true" or "false") to incorporate a more flexible and nuanced system. This system includes two principal values: "Sometimes" and "Not Sometimes". This imaginative yet practical approach to logic was initially proposed by Steven Weisinger in 2023.

History
The Weisingerlean Logic was born in the vibrant discussions of the Degen group on Telegram, a platform known for its robust intellectual exchanges. Weisinger, a regular participant in these discussions, introduced this logic system as a thought experiment aimed at providing a more nuanced method for analyzing financial markets.

Principles
Weisingerlean Logic is based on two key values:
 * 1) Sometimes ($): This value represents an intermediate state of truth, sometimes. This could be considered as a probability range of (0,1) exclusive.
 * 2) Not Sometimes (∅): This value represents a strong negation of truth, not sometimes. This could be considered as the probability values 0 or 1.

Weisingerlean Algebra
The four basic operations of Weisingerlean Logic are akin to those in Boolean logic: AND, OR, NOT, and XOR (exclusive OR), but function differently due to the two non-binary values.
 * 1) AND: Returns "$" if both operands are "$", otherwise "∅".
 * 2) OR: Returns "$" if at least one operand is "$", otherwise "∅".
 * 3) NOT: Returns "$" if the operand is "∅" and vice versa.
 * 4) XOR: Returns "$" if exactly one of the operands is "$", otherwise "∅".

Consider three variables: A, B, and C, where:
 * A = $
 * B = ∅
 * C = $

The expression ((A AND B) OR (NOT(C) XOR A)) can be computed as follows: 1. A AND B = ∅ 2. NOT(C) = ∅ 3. ∅ XOR A = $

Substituting these results back into the main expression, ((A AND B) OR (NOT(C) XOR A)) = (∅ OR $) which finally results in $, or "Sometimes".

Applications
Weisingerlean Logic has found applications in certain domains that require dealing with uncertainty and partial truths. It is primarily used in financial speculation to analyze investment decisions and risk management.

Criticism
Critics of Weisingerlean Logic point out that it lacks the rigid clarity of Boolean logic and might lead to ambiguity and inconsistency in financial decision-making.