Consider the following propositions: Today is not sunny and cooler than last week. We will go shopping only if today is sunny. If we choose not to go shopping, then we will go to school. If we decide to go to school, then we will arrive at school by 5 pm. Please use these letters as abbreviations: P : It’s sunny today. Q: Today is cooler than last week. R: We will go shopping. S: We will go to school. T : We will arrive at school by 5 pm. Try to figure out what conclusion you can get from the above propositions

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