Please be aware that this is the Answer Centre which is manned by other ebay members such as yourself, not ebay staff.
If you can't provide a telephone number then you can't buy here. Ebay wants to verify that you are not a fly-by-night person or a Nigerian scammer (this was a very big problem in the past).
Feel free to close your account if you cannot provide the necessary information.
http://pages.ebay.ca/help/account/questions/close-account.html
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Non payers should get unpaid item strikes and be added to block bidders lists. Period.