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Because Magna Sententia is based on a system of logic, the symbols within its shield originate in mathematics. This table not only explains the mathematical meanings of these symbols but also their interpretations reflecting the Axioms of Magna Sententia: |
| The Axiom Of Responsibility | |
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In mathematics, the symbol According to Magna Sententia, the symbol Use the Axiom of Responsibility to determine when others are not meeting their responsibilities, when they are attempting to make you shoulder their responsibilities, and when you are not fulfilling your own responsibilities. |
| The Axiom Of Respect | |
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In abstract algebra, an isomorphism is a structure-preserving mapping (or function) that is used to show that two mathematical structures (such as groups, rings, or fields) are structurally identical. Isomorphisms are of great use when studying an unfamiliar structure (or a structure that is difficult to work with) since if you can prove that an isomorphism exists from the unfamiliar (or difficult) structure onto a familiar structure (or structure that is easier to work with), then you can solve problems and discover useful facts about the properties of the unfamiliar (or difficult) structure using the familiar (or easier) one. When an isomorphism exists between two structures G and H, we say that they are isomorphic and we write G According to Magna Sententia, the symbol Use the Axiom of Respect to treat yourself and others respectfully while respecting only those who earn it. |
| The Axiom Of Realistic Expectations | |
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In mathematical logic, the symbol According to Magna Sententia, the symbol Use the Axiom of Realistic Expectations to give yourself as much control as possible over your life by making decisions that have the highest probability of leading to the life and relationships you want. |


denotes the set of real numbers. Real numbers can be informally defined as all of the numbers on the number line, or any number that can be expressed as an infinite decimal. This includes integers (positive and negative whole numbers), rational numbers (integers plus all other numbers that can be expressed as a fraction), and irrational numbers (numbers such as square roots and pi that can be expressed by an infinite decimal, but not a fraction).
H. On the other hand, if we prove that G and H are not isomorphic, we write G
H.
is read as "implies" or "if . . . then." It is used to construct conditional sentences (such as "If x is even, then x + 1 is odd,") that are employed in mathematical proofs.
