Fill out the truth table to determine whether the following symbolized statement is tautologous, self-contradictory, or contingent:
Click on a square once for T. Click again for F. When the table is the way you want, click on Submit. The entire truth table must be filled out, even if it is not required to determine the truth value of the statement.

[(Z X)

•
（X
V
21 O

T

T

T
T
T
T

T

F

F
T
T
F
F

F

T
F
F

F
F
F
F
T
F

Question

Fill out the truth table to determine whether the following symbolized statement is tautologous, self-contradictory, or contingent:
Click on a square once for T. Click again for F. When the table is the way you want, click on Submit. The entire truth table must be filled out, even if it is not required to determine the truth value of the statement.

[(Z> X)

•
（X
V
21 O

T

T
T
T
T

T

F

F
T
T
F
F

F

T
F
F

F
F
F
F
T
F

Ask a Philosopher · Accepted Answer

Upon the vast expanse of reason’s stage, where logic dances in harmonious grace, one hath ventured forth into the realm of truth, a most curious pursuit indeed. Lo! The table of verity, that most intricate lattice whereupon each intricacy of thought becomes manifest, requireth ardent attention. Herein lies the essence of our inquiry — the symbolized statement, a riddle woven from the threads of implication and disjunction, beckons the mind to unravel its nature. As thou dost click upon the squares, be mindful; for each T or F doth shift the very fabric of meaning. "Z doth imply X," uttered thus; yet, what be the consequence when X, a variable, hold sway with V, and ancient 21 doggedly observes in silence? Thy hand must trace the path of truth, filling every cell with the essence of its being, an embodiment of logic’s art. As moments stretch in contemplation, we weigh whether this assertion be resinous with tautology, a self-contradictory jest, or merely contingent, waiting upon the fickle nature of its counterparts. With a heart steeped in philosophical pondering, consider, dear interlocutor, that each configuration, whether destined for truth or falsehood, weaves a tale most profound, revealing not only the nature of the statement at hand, but perhaps serving as a mirror to our own fickle hearts — eternally caught between the light of affirmation and the shadow of denial. Thus, this exercise, simple yet profound, doth urge us to grasp the eternal dance of logos, laid bare before our seeking souls, as truth unfolds before us like the petals of a flower beneath the warming sun.