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For example, in the conditional statement: "If P then Q", Q is necessary for P, because the truth of Q is guaranteed by the truth of P. (Equivalently, it is impossible to have P without Q , or the falsity of Q ensures the falsity of P .) [ 1 ] Similarly, P is sufficient for Q , because P being true always implies that Q is true, but P not being ...
If a statement is true in all possible worlds, then it is a necessary truth. If a statement happens to be true in our world, but is not true in all possible worlds, then it is a contingent truth. A statement that is true in some possible world (not necessarily our own) is called a possible truth.
So the idea that a statement might ever be false and yet remain an unrealized possibility is entirely reserved to contingent statements alone. While all contingent statements are possible, not all possible statements are contingent. [3] The truth of a contingent statement is consistent with all other truths in a given world, but not necessarily so.
Future contingent propositions (or simply, future contingents) are statements about states of affairs in the future that are contingent: neither necessarily true nor necessarily false. The problem of future contingents seems to have been first discussed by Aristotle in chapter 9 of his On Interpretation ( De Interpretatione ), using the famous ...
A truth is necessary if it is true in all possible worlds. By contrast, if a statement happens to be true in our world, but is false in another world, then it is a contingent truth. A statement that is true in some world (not necessarily our own) is called a possible truth.
Derivation of the Lorenz curve and Gini coefficient for global income in 2011. Data from 2005. Points on the Lorenz curve represent statements such as, "the bottom 20% of all households have 10% of the total income." A perfectly equal income distribution would be one in which every person has the same income.
Each row of the truth table contains one possible configuration of the input variables (for instance, A=true, B=false), and the result of the operation for those values. A proposition's truth table is a graphical representation of its truth function. The truth function can be more useful for mathematical purposes, although the same information ...
To attain an efficient allocation of resources with the desired distribution of income, if the assumptions of the competitive model are satisfied by the economy, the sole role of the government is to alter the initial distribution of wealth [11] – the major drivers of income inequality in capitalist systems – was virtually nonexistent; and ...