Cultural equivalency is a myth.

 Axioms of Conservatism (relevant to the main premise):

Axiom 1: There are inherent differences between cultures.

1. Axiom 2: Cultural values and practices can have varying degrees of moral and ethical merit.
2. 
   

Axioms of Objectivism (relevant to the main premise):

1. Axiom 1: Objective reality exists independent of individual beliefs or perceptions.
2. Axiom 2: Humans possess the ability to reason and comprehend objective reality.
3. 
   

Principles of Laissez-Faire/Free Market Capitalism (relevant to the main premise):

1. Principle 1: Voluntary exchange and cooperation are the foundation of a prosperous society.
2. Principle 2: Individuals have the right to pursue their own self-interest and keep the fruits of their labor.
3. 
   

Main Premise: Cultural equivalency is a myth.

Additional Premises:
3. Premise 1: Different cultures have distinct values, traditions, and practices.
4. Premise 2: Moral and ethical judgments can be made by comparing cultural values and practices.

Theorems:

1. Theorem 1: Due to the inherent differences between cultures (Axiom 1), it is not possible to equate them on all aspects.
2. Theorem 2: Objective reality (Axiom 1) allows for the assessment and comparison of cultural values and practices.
3. Theorem 3: By comparing cultural values and practices, it is possible to determine their moral and ethical merit (Axiom 2).
4. Theorem 4: Cultural equivalency is a myth because different cultures have distinct values, traditions, and practices (Premise 1), and moral and ethical judgments can be made by comparing them (Theorem 3).
5. 
   

Conclusion:
Theorem 5: Cultural equivalency is a myth, as different cultures cannot be equated on all aspects due to their inherent differences, and moral and ethical judgments can be made by comparing cultural values and practices.

In addition:

Undeniable Self-Evident Axiom 1: Different cultures have distinct beliefs, values, and practices.

Poly-Syllogism 1:

1. Different cultures have distinct beliefs, values, and practices.
2. Cultural beliefs, values, and practices shape the way people perceive and interact with the world.
3. If cultural beliefs, values, and practices shape perceptions and interactions, then cultural equivalency is not possible.

Conclusion (Theorem 1): Cultural equivalency is not possible.

Poly-Syllogism 2:

1. Cultural equivalency is not possible.
2. Cultural relativism is based on the idea that all cultural beliefs and values are equally valid.
3. If cultural equivalency is not possible, then the idea that all cultural beliefs and values are equally valid is flawed.

Conclusion (Theorem 2): The idea of cultural relativism is flawed.

Poly-Syllogism 3:

1. The idea of cultural relativism is flawed.
2. Cultural relativism undermines the concept of universal human rights.
3. If the concept of cultural relativism undermines universal human rights, then cultural equivalency is a myth.

Conclusion (Theorem 3): Cultural equivalency is a myth.

and also:

Axiom 1 (Conservatism):

1. The preservation of cultural values and traditions is important.
2. 
   

Axiom 2 (Objectivism):
2. Objective moral values exist and can be evaluated based on reason and evidence.

Axiom 3 (Laissez-faire/Free Market Capitalism):
3. Free exchange and competition in the marketplace promote individual liberty and prosperity.

Main Premise:
4. Cultural equivalency is a myth.

Additional premises:
5. Different cultures have different values, beliefs, and practices.
6. Some cultural values, beliefs, and practices may be objectively better or worse than others based on their impact on human well-being and individual rights.

Theorems:
7. If cultural equivalency is a myth (4), then it means that not all cultures are equal in terms of values, beliefs, and practices.
8. If not all cultures are equal (7), then it follows that cultural moral equivalency is also a myth, as moral values can differ between cultures (5).
9. If cultural moral equivalency is a myth (8), then it implies that there are objective criteria by which we can evaluate and compare different cultural moral systems (6).

Conclusion (Theorem):
10. Cultural moral equivalency is a myth, and there are objective criteria by which we can evaluate and compare different cultural moral systems.

and finally:

Undeniable Self-Evident Axiom:

1. Cultural beliefs and values vary across different societies.
2. 
   

Poly-Syllogism 1:

1. Cultural beliefs and values vary across different societies.
2. Moral beliefs and values are a part of cultural beliefs and values.
3. Therefore, moral beliefs and values vary across different societies.
4. 
   

Poly-Syllogism 2:

1. Moral beliefs and values vary across different societies.
2. If cultural equivalency is a myth, it means that cultures cannot be considered equivalent in terms of their beliefs and values.
3. Therefore, if cultural equivalency is a myth, then moral equivalency is also a myth.
4. 
   

Theorem 1: If cultural equivalency is a myth, then cultural moral equivalency is also a myth.