on commutative linear algebras in which division is always uniquely
... If we proceed without the specialization c, = 0, we find that, unless the algebra is a field, e = — r, f= s + rct/c2, from which (18) follows. 7. It remains to determine which of the quaternary algebras (11) satisfying (18) and (19) are equivalent under a linear transformation of the units 1, I, J, ...
... If we proceed without the specialization c, = 0, we find that, unless the algebra is a field, e = — r, f= s + rct/c2, from which (18) follows. 7. It remains to determine which of the quaternary algebras (11) satisfying (18) and (19) are equivalent under a linear transformation of the units 1, I, J, ...
Second-Order Logic of Paradox
... Truth values of compound formulas are derived from those of their subformulas by the familiar “truth tables” of Kleene’s (strong) 3-valued logic [9, §64], but whereas for Kleene (thinking of the “middle value” as truth-valuelessness) only the top value (True) is designated, for Priest the top two va ...
... Truth values of compound formulas are derived from those of their subformulas by the familiar “truth tables” of Kleene’s (strong) 3-valued logic [9, §64], but whereas for Kleene (thinking of the “middle value” as truth-valuelessness) only the top value (True) is designated, for Priest the top two va ...
MERIT Number and Algebra
... systems of two equations in two unknowns. • They considered some problems involving more than two unknowns and a few equivalent to solving equations of higher degree ...
... systems of two equations in two unknowns. • They considered some problems involving more than two unknowns and a few equivalent to solving equations of higher degree ...