Seneca is a stoic, writing in the stoic tradition. Yet he always steps outside that tradition when he reaches a divergent conclusion on something important. The most obvious example of this, is his attitude to logic or logic puzzles. Seneca’s break from the standard Stoic attitude to logic is also a break from the beliefs about knowledge of nearly all Ancient Greek philosophers.
Philosophy and logic
Logic is a foundation of anything that considers itself philosophy. Without logic philosophy as an art of reason or practical reasoning becomes flaccid and self-indulgent. Like many great philosophers through the ages, the Stoics had their own logic which was a framework for their beliefs. In our era more and more of us are living in communities and an environment that is being deformed by an industrial services complex framed by the logic (and ‘ethic’) of neo-liberal economics and its political support organizations. That logic is often a central target of a contemporary philosophy of liberation.
Where Seneca differs with the great philosophers of Ancient Greece is over the idea that all knowledge is practical knowledge. The Stoics “…as Hellenistic thinkers held that all human knowledge is ultimately ‘practical’ in the sense of informing us of the best way to live our lives.” To Seneca, spending too much time on logical puzzles is a waste of time because it does not contribute to our understanding of the best way to live.
Stoic logic and practical reason
We can see through letters like number 58 that Seneca does not eschew logic. But there are other letters, like 45 and 49, were he is clear on its limits and the importance of not being taken in by the notion that there “…is some deep and arcane value in what…” logicians do.
He is especially dismissive of philosophers who offer logic puzzles to those who turn to philosophy during times of need brought on by a deep personal crisis or trauma. By taking this position Seneca shows he does not accept all knowledge is practical knowledge that feeds into our understanding of how to live.
If you don’t find puzzles a play activity, there is little if any practical benefit spending your attention (sic) wrestling with logical puzzles. That is very different to saying you don’t need to study logic. One of the better introductions to critical thinking by a philosopher is Antony Flew’s How to Think Straight ISBN 9781615922154
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 M.J White 2003. Stoic Natural Philosophy in Inwood B. Ed Cambridge Companion to the Stoics p 152.
 Seneca Letters on Ethics Ep 49.6 (2015) Graver & Long Trans p143
 Seneca Letters on Ethics Ep 48.8 (2015) Graver & Long Trans p140