Between any two of them, there are others , for example, the arithmetical mean of the two. Source: Our Knowledge of the External World as a Field for Scientific Method in Philosophy In this sentence mean means: a quantity obtained by the division of a large number an average computed by adding some function of the numbers the form of a word after all affixes are removed the possession of the qualities required to do something

## Step 1<br />The problem is a vocabulary question, asking for the correct definition of the word "mean" in the given context. The sentence is: "Between any two of them, there are others, for example, the arithmetical mean of the two."<br /><br />## Step 2<br />The word "mean" in this context is used to refer to a type of average. The sentence is talking about the arithmetical mean of two numbers, which is a type of average.<br /><br />## Step 3<br />Looking at the options provided, we need to choose the one that best fits the context of the sentence. The options are:<br />- a quantity obtained by the division of a large number<br />- an average computed by adding some function of the numbers<br />- the form of a word after all affixes are removed<br />- the possession of the qualities required to do something<br /><br />## Step 4<br />The first option, "a quantity obtained by the division of a large number", does not fit the context of the sentence. The sentence is not talking about a large number, but about the arithmetical mean of two numbers.<br /><br />## Step 5<br />The second option, "an average computed by adding some function of the numbers", fits the context of the sentence perfectly. The sentence is talking about the arithmetical mean of two numbers, which is an average computed by adding the numbers.<br /><br />## Step 6<br />The third option, "the form of a word after all affixes are removed", does not fit the context of the sentence. The sentence is not talking about words or affixes.<br /><br />## Step 7<br />The fourth option, "the possession of the qualities required to do something", does not fit the context of the sentence. The sentence is not talking about qualities or actions.