50 Examples of Exclusive Disjunction

Exclusive Disjunction

The exclusive disjunction is a statement in which there are two options, but only one of the options can be true, because one excludes the other. For instance: Is it day or is it night.

The two propositions, that is, the two options, are coordinated with the disjunctive connector "or". One of the propositions always has to be false and the other always has to be true.

If both propositions are true, the whole statement is considered false since it cannot be day and night at the same time. But the statement will also be false if both propositions are false, because it has to be day or night, but it cannot be neither.

The exclusive disjunction is a reasoning that is used in logic, a branch of philosophy, and that is applied in different fields, such as mathematics or physics.

Examples of exclusive disjunction

1. The water is cold or hot.
2. The floor is dry or wet.
3. It is hot or cold.
4. A testimony is either true or false.
5. Leonardo da Vinci was a Renaissance artist or a medieval artist.
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6. Either they turned left or they turned right.
7. The dog is barking or eating.
8. The sky is cloudy or clear.
9. Engine is off or running.
10. She is studying or thinking about something else.
11. The mollusk is a vertebrate animal or it is an invertebrate animal.
12. The winner of the championship is Pedro or Luis.
13. The exam either passed or failed.
14. The cat is a feline or a canine.
15. The store is either open or closed.
16. There is light or there is darkness.
17. Is it winter or is it summer.
18. A number is odd or even.
19. The cake is either cooked or raw.
20. He is happy or sad.
21. The country is in the north or it is in the south.
22. A tool works or is broken.
23. Santiago is awake or asleep.
24. A number is positive or negative.
25. The result of a calculation is correct or incorrect.
26. A waste is organic or is recyclable.
27. It is early or it is late.
28. There is silence or there is noise.
29. The water is clean or dirty.
30. A person lies or tells the truth.
31. The orange is fresh or rotten.
32. The patient is healthy or sick.
33. The computer was invented in the 19th or 20th century.
34. The plant is either alive or dead.
35. A material is opaque or is transparent.
36. One color is light or dark.
37. Either accept the contract or reject it.
38. The table is inside the house or it is outside the house.
39. The knight was brave or cowardly.
40. Flamenco originated in Spain or France.
41. English is a Latin language or is it a Saxon language.
42. Luisa is working or is on vacation.
43. The book is expensive or cheap.
44. The television is off or is on.
45. Shakespeare was born in England or was born in Belgium.
46. The reasoning is logical or it is illogical.
47. A material is either conductive or insulating.
48. The work is original or it is a copy.
49. Either the plan is well done or it has errors.
50. An object is moving or is at rest.

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