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It caps at 4 as 4*25%=100% chance to burn.
Note applying burn to an already burning target refreshes the burning status effect and does 1 tick worth of burning damage.
Something like "+2 Melee Damage" is rather self explanatory what it does and how it stacks.
But Sausage - is it really stacking or are the procing independently?
4*25% or (1 - 0,75*0,75*075)=>57% chance "only".
Multiple snakes - the item just says it allows fire to spread, there is no mentioning that the spread is limited and having multiple snakes makes it spread further.
lumberjack-thingy - you can get more of that too, but does not seem to give any more benefits.
By contrast, Cyberball isn't limited so we have to assume those are independent.
Oh, and I'm pretty sure the lumberjack being Unique (can't get more than one) is the reason why Pacifist and Explorer now start with it instead of just having an identical passive.
Instead you have to have 4 already to notice it - it is just not stated anywhere.
After you have run into the limit.... And you can not even reason that as there are other artificial limits in the game (like you can not get 100% dodge, or over 10HP/s lifesteal).
You can't be sure. Might just stop at 100%.
Not sure how it is now, but it was previously possible to get multiple.
On the item its has the following text under the name "limited (4)". If you not got this text you are playing an old version or got corrupted files.