I like to use This website to explain some of the simple ways of mathematical thinking, but in the linked article by Wells, he gives his ideas on how mathematical objects are inert, but in this he describes how 'September' and the idea of a schedule are changing because the property that 'this month is September' can change, and the idea that 'my schedule' can change', however I feel we can consider either 'unchanging' if we consider that 'this month' and 'my schedule' are variable terms in our language, just as 'is not x' is not a property of the number itself, it's simply that x does not refer to that number. Can we consider a 'name' as a property of the object', or in this case is 'being my schedule' a property that a schedule can gain, and another lose?
I think the issue here is that these are sort of 'association' properties, we associate 'September' with 'this month' we can 'assign' a role to the month 'September', (would this be a property) or we don't, similarly for a schedule, however, we 'associate' a number with a variable, in the same way, but this is not a property of the number, yet we can associate the -(-1) with 1 it's just that we consider this a true 'mathematical' property, is this a valid way to see it?