The Symmetry Principle asserts equal opportunity rather than basic equality. Robert Nozick argued in his book Anarchy, State, and Utopia (1974) that results are irrelevant to the idea of fair resource allocation - it is the fairness of the rules by which society operates that is important. He suggests two rules:
1) Governments must recognise and protect private property
2) Private property must be given from one party to another only when voluntarily done so.
Under these rules the results will be fair, but not necessarily equal. The idea of symmetry therefore arises from the idea that an individuals' contribution to society/the economy will equal their compensation.
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A circle is symmetric about ANY diameter. The number of possible diameters of the same circle is infinite. And on the same principle, a sphere will have lines of symmetry in every direction in 3 dimensions.
Reflection symmetry, reflectional symmetry, line symmetry, mirror symmetry, mirror-image symmetry, or bilateral symmetry is symmetry with respect to reflection
line symmetry, rotational symmetry, mirror symmetry &liner symmetry
Asymmetry, Radial Symmetry, and Bilateral symmetry.
It has line symmetry (straight down the center) but not rotational symmetry.