An example of 3ʳᵈ order abstraction where symbols "square themselves" and take on a life of their own independently of objects is
A) algebra
B) trigonometry
C) calculus
D) theories of perspective
E) musical theory based on notations
F) all of the above

Question

Quizplus · Accepted Answer

All the options listed (algebra, trigonometry, calculus, theories of perspective, and musical theory based on notations) are examples of 3rd order abstraction. In these fields, symbols and concepts are used in ways that abstract away from direct physical objects and interactions, allowing for the manipulation of ideas and relationships in a purely symbolic realm. This level of abstraction enables the symbols to "square themselves" and operate independently of the physical world, embodying a form of thought and analysis that transcends direct sensory experience.

An Example of 3ʳᵈ Order Abstraction Where Symbols "Square Themselves