A pattern of deductive reasoning involves premises and a conclusion. Consider the following truth table for such a pattern of deduction. The conclusions are hidden. Premise 1 Premise 2 Premise 3 Conclusion F ? T ? ? F F F ? ? F F F ? F F ? Select all (but only) the rows that are relevant for deciding whether this is a valid pattern of deduction. row one row two U row three row four O row five

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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A pattern of deductive reasoning involves premises and a conclusion. Consider the following truth table for such a pattern of deduction. The conclusions are hidden.

| Premise 1 | Premise 2 | Premise 3 | Conclusion |
|-----------|-----------|-----------|------------|
| T         | T         | F         | ?          |
| T         | T         | T         | ?          |
| T         | T         | T         | ?          |
| F         | F         | F         | ?          |
| T         | T         | T         | ?          |
| T         | T         | T         | ?          |
| F         | F         | F         | ?          |
| F         | F         | T         | ?          |

Select all (but only) the rows that are relevant for deciding whether this is a valid pattern of deduction.

- [ ] row one
- [ ] row two
- [ ] row three
- [ ] row four
- [ ] row five
- [ ] row six
- [ ] row seven
- [ ] row eight

Suppose the conclusions are, in fact, as shown below:

| Premise 1 | Premise 2 | Premise 3 | Conclusion |
|-----------|-----------|-----------|------------|
| T         | T         | F         | F          |
| T         | T         | T         | T          |
| T         | T         | T         | T          |
| F         | F         | F         | T          |
| T         | T         | T         | F          |
| T         | T         | T         | T          |
| F         | F         | F         | T          |
| F         | F         | T         | T          |

Is the rule of inference with this truth table valid or invalid?

- [ ] The deductive pattern is **valid.**
- [ ] The deductive pattern is **invalid.**
Transcribed Image Text:A pattern of deductive reasoning involves premises and a conclusion. Consider the following truth table for such a pattern of deduction. The conclusions are hidden. | Premise 1 | Premise 2 | Premise 3 | Conclusion | |-----------|-----------|-----------|------------| | T | T | F | ? | | T | T | T | ? | | T | T | T | ? | | F | F | F | ? | | T | T | T | ? | | T | T | T | ? | | F | F | F | ? | | F | F | T | ? | Select all (but only) the rows that are relevant for deciding whether this is a valid pattern of deduction. - [ ] row one - [ ] row two - [ ] row three - [ ] row four - [ ] row five - [ ] row six - [ ] row seven - [ ] row eight Suppose the conclusions are, in fact, as shown below: | Premise 1 | Premise 2 | Premise 3 | Conclusion | |-----------|-----------|-----------|------------| | T | T | F | F | | T | T | T | T | | T | T | T | T | | F | F | F | T | | T | T | T | F | | T | T | T | T | | F | F | F | T | | F | F | T | T | Is the rule of inference with this truth table valid or invalid? - [ ] The deductive pattern is **valid.** - [ ] The deductive pattern is **invalid.**
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