First time here? Checkout the FAQ!
0 votes
Represent using logic connectives :-

1. "Whenever there is an active alert, all queued messages are transmitted."

Given answer is :-∃x(Alert(x)∧Active(x))→∀y((Message(y)∧Queued(y))→Transmitted(y))

2. Purple mushrooms are poisonous

∀x( purple(x)∧mushroom(x)→ Poisonous(x) )

I need to ask that in first statement why are we using ∃x instead of ∀ in the beginning . I mean it should be same as If there is an active alert then do XYZ.Like in second statement. If i use ∀ in the begriming then it will become "For every object x in universe if x is an active alert then queued messages are transmitted". What is wrong in this?

so ∀(Alert(x) ^ Active(x) -> XYZ).

Why are we using  ∃ in the start.?

asked in Mathematical Logic by Veteran (15k points) 13 109 316
edited by | 119 views

1 Answer

0 votes
"Whenever there is an active alert, all queued messages are transmitted."

Whenever -> Condition Statement.

There is... -> Existential condition.

All -> Universal condition.

So it becomes:

"If there is an active alert, all queued messages are transmitted" -> If there exists an alert which is active, then if for every message which is queued then the message is transmitted."

I translated the conditional and quantifiers perfectly, there may be some mistake in English but that's not important.

answered by (483 points) 1 10

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
Top Users Oct 2017
  1. Arjun

    23438 Points

  2. Bikram

    17108 Points

  3. Habibkhan

    8354 Points

  4. srestha

    6314 Points

  5. Debashish Deka

    5458 Points

  6. jothee

    5008 Points

  7. Sachin Mittal 1

    4882 Points

  8. joshi_nitish

    4390 Points

  9. sushmita

    3996 Points

  10. Rishi yadav

    3840 Points

Recent Badges

Popular Question sunil sarode
Verified Human nandisrinivas
Nice Question shraddha priya
Popular Question just_bhavana
Famous Question rahul sharma 5
Popular Question Jithin Jayan
Great Answer Sankaranarayanan P.N
Good Question jothee
Great Answer Sankaranarayanan P.N
Famous Question pC
27,346 questions
35,200 answers
33,327 users