This document discusses the three certainties required to create a valid trust under English law: certainty of intention, subject matter, and objects. It explains that the intention to create a trust must be clear from imperative words or the substance of the document as a whole. The subject matter and objects of the trust must also be definite and ascertainable. Fixed trusts specify each beneficiary's share, while discretionary trusts give trustees flexibility to determine distributions from the class of potential beneficiaries.