Example
Three points in two classes ('+' and '-') are always linearly separable in two dimensions. This is illustrated by the following figure:
However, not all sets of four points are linearly separable in two dimensions. The following example would need two straight lines and thus is not linearly separable:
Read more about this topic: Linear Separability
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“Our intellect is not the most subtle, the most powerful, the most appropriate, instrument for revealing the truth. It is life that, little by little, example by example, permits us to see that what is most important to our heart, or to our mind, is learned not by reasoning but through other agencies. Then it is that the intellect, observing their superiority, abdicates its control to them upon reasoned grounds and agrees to become their collaborator and lackey.”
—Marcel Proust (1871–1922)