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Mia’s Podcast
Mia’s Podcast
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Tuesday 30 June 2026 15:24:26 GMT
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Imagine you’re at a fun maths party, and somebody asked you a question: 'Okay, your turn. You have to add 111 to 112.’  And you say, ‘Oh, that’s easy. That’s 223.’  And they look at you for a moment: ‘Are you serious? Do you not know how to add?’  Because according to Saul Kripke, how do you actually know you are doing addition properly? Kripke argues that in everyday life, whether we know it or not, we follow rules. These might be simple rules of etiquette, like ‘don’t burp in public,’ but they are also rules about the words we use and the concepts we apply. For example, consider the two words ‘anxious’ and ‘scared.’ On paper, these are very similar, but there are subtle nuances about when we can and cannot use them.  For Kripke, we go about applying these rules all of the time, but we can never be entirely sure we are doing them right. If a child, or a non-native speaker, is learning a language, they will often be corrected by competent speakers when they go wrong, and when this happens, they will recalibrate what Kripke calls their rule-following considerations. And yet, it’s quite possible that they could use a word over and over again correctly, while never actually understanding what that word means. With addition, we are never shown what addition is. We are given examples of addition at play, and we are expected to work it out. A teacher will say, ‘Two plus two equals four, three plus seven equals ten, and 13 plus 13 equals 26. Have you got it yet? Okay, good. See you later.’ But what if addition doesn’t actually work the way you think it does? What if it changes when you reach 179? What if it changes if you are standing on one leg? What if it changes if there is a westerly wind? Kripke’s rule-following considerations asks us the question: how do you know you are doing anything right at all?
Imagine you’re at a fun maths party, and somebody asked you a question: 'Okay, your turn. You have to add 111 to 112.’ And you say, ‘Oh, that’s easy. That’s 223.’ And they look at you for a moment: ‘Are you serious? Do you not know how to add?’ Because according to Saul Kripke, how do you actually know you are doing addition properly? Kripke argues that in everyday life, whether we know it or not, we follow rules. These might be simple rules of etiquette, like ‘don’t burp in public,’ but they are also rules about the words we use and the concepts we apply. For example, consider the two words ‘anxious’ and ‘scared.’ On paper, these are very similar, but there are subtle nuances about when we can and cannot use them. For Kripke, we go about applying these rules all of the time, but we can never be entirely sure we are doing them right. If a child, or a non-native speaker, is learning a language, they will often be corrected by competent speakers when they go wrong, and when this happens, they will recalibrate what Kripke calls their rule-following considerations. And yet, it’s quite possible that they could use a word over and over again correctly, while never actually understanding what that word means. With addition, we are never shown what addition is. We are given examples of addition at play, and we are expected to work it out. A teacher will say, ‘Two plus two equals four, three plus seven equals ten, and 13 plus 13 equals 26. Have you got it yet? Okay, good. See you later.’ But what if addition doesn’t actually work the way you think it does? What if it changes when you reach 179? What if it changes if you are standing on one leg? What if it changes if there is a westerly wind? Kripke’s rule-following considerations asks us the question: how do you know you are doing anything right at all?

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